AMC 12B 2015 Problem 24

Four circles, no two of which are congruent, have centers at A, B, C, and D, and points P and Q lie on all four circles. The radius of circle A is \dfrac{5}{8} times the radius of circle B, and the radius of circle C is \dfrac{5}{8} times the radius of circle D. Furthermore, A B=C D=39 and P Q=48. Let R be the midpoint of \overline{P Q}. What is A R+B R+C R+D R ?

Answer Choices
A. 180
B. 184
C. 188
D. 192
E. 196