\(B=1.4+4.7+....+100.103\)
\(\frac{3}{B}=\frac{3}{1.4}+\frac{3}{4.7}+......+\frac{3}{100.103}\)
\(\frac{3}{B}=\frac{1}{1}-\frac{1}{4}+\frac{1}{4}-\frac{1}{7}+.....+\frac{1}{100}-\frac{1}{103}\)
\(\frac{3}{B}=\frac{1}{1}-\frac{1}{103}\)
\(\frac{3}{B}=\frac{102}{103}\)
\(B=\frac{3.103}{102}=\frac{103}{34}\)