Finding the Fourth Proportional to 180,255,022.24, 248,751,996.96 and 97,748,785.12
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Solution
The fourth proportional to 180,255,022.24, 248,751,996.96 and 97,748,785.12 is: 134,893,359.40
Step by Step Solution
- Step 1: Write the proportion equation
180,255,022.24 : 248,751,996.96 = 97,748,785.12 : x - Step 2: Convert to fraction form
180,255,022.24/248,751,996.96 = 97,748,785.12/x - Step 3: Cross multiply
180,255,022.24x = 248,751,996.96 × 97,748,785.12 - Step 4: Simplify right side
180,255,022.24x = 24,315,205,499,013,936 - Step 5: Solve for x
x = 24,315,205,499,013,936/180,255,022.24 - Step 6: Final answer
x = 134,893,359.40
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.