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Finding the Fourth Proportional to 206,540.52, 309,843.18 and 88,212.52

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Solution

The fourth proportional to 206,540.52, 309,843.18 and 88,212.52 is: 132,332.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,540.52 : 309,843.18 = 88,212.52 : x
  2. Step 2: Convert to fraction form
    206,540.52/309,843.18 = 88,212.52/x
  3. Step 3: Cross multiply
    206,540.52x = 309,843.18 × 88,212.52
  4. Step 4: Simplify right side
    206,540.52x = 27,332,047,712.61
  5. Step 5: Solve for x
    x = 27,332,047,712.61/206,540.52
  6. Step 6: Final answer
    x = 132,332.62

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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.