4/1*4+4/4*7+4/7*10+.+4/100*103
=4*(1/1*4+1/4*7+...+1/100*103)
=4*[(1-1/4)/3+(1/4-1/7)/3+...(1/100-1/103)/3]
=4/3(1-1/4+1/4-1/7+...+1/100-1/103)
=4/3 * (1-1/103)
=136/103