This book is the cumulation of a four-volume series dedicated to re-potting the organizational sciences which suffer from fundamental problems: no working, common representation of its basic phenomena: group and organizational processes (GOPs); context-free theories; dependence on teleological reasoning which hides how these processes work; failure to integrate theory, tools, and engineering methods to convert theory and tools into solving problems with applications; the proliferation of unfalsifiable theories; and reliance on inappropriate statistical procedures. The result is the proliferation of Type III errors of working on the wrong problems by ignoring the actual processes and Type IV errors of using the wrong methods. Hence, the re-potting effort. This series addresses and presents solutions to these problems. Volume IV incorporates contextual settings and cumulates these into a better science for managing rooted in a common GOP representation and advances preceding it. These four volumes present 223 propositions, properties, and principles and are a basis for re-potting organizational sciences into a working paradigm.