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Finding the Fourth Proportional to 206,332.92, 309,397.32 and 73,193.22

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Solution

The fourth proportional to 206,332.92, 309,397.32 and 73,193.22 is: 109,753.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,332.92 : 309,397.32 = 73,193.22 : x
  2. Step 2: Convert to fraction form
    206,332.92/309,397.32 = 73,193.22/x
  3. Step 3: Cross multiply
    206,332.92x = 309,397.32 × 73,193.22
  4. Step 4: Simplify right side
    206,332.92x = 22,645,786,110.17
  5. Step 5: Solve for x
    x = 22,645,786,110.17/206,332.92
  6. Step 6: Final answer
    x = 109,753.63

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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.