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Finding the Fourth Proportional to 206,354.54, 284,648.27 and 129,752.21

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Solution

The fourth proportional to 206,354.54, 284,648.27 and 129,752.21 is: 178,981.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,354.54 : 284,648.27 = 129,752.21 : x
  2. Step 2: Convert to fraction form
    206,354.54/284,648.27 = 129,752.21/x
  3. Step 3: Cross multiply
    206,354.54x = 284,648.27 × 129,752.21
  4. Step 4: Simplify right side
    206,354.54x = 36,933,740,033.17
  5. Step 5: Solve for x
    x = 36,933,740,033.17/206,354.54
  6. Step 6: Final answer
    x = 178,981.96

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1.5x scale

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.