Finding the Fourth Proportional to 97,471,201.90, 146,206,802.85 and 82,165,701.10
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Solution
The fourth proportional to 97,471,201.90, 146,206,802.85 and 82,165,701.10 is: 123,248,551.65
Step by Step Solution
- Step 1: Write the proportion equation
97,471,201.90 : 146,206,802.85 = 82,165,701.10 : x - Step 2: Convert to fraction form
97,471,201.90/146,206,802.85 = 82,165,701.10/x - Step 3: Cross multiply
97,471,201.90x = 146,206,802.85 × 82,165,701.10 - Step 4: Simplify right side
97,471,201.90x = 12,013,184,461,759,726 - Step 5: Solve for x
x = 12,013,184,461,759,726/97,471,201.90 - Step 6: Final answer
x = 123,248,551.65
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.