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Finding the Fourth Proportional to 206,757.97, 285,332.88 and 116,129.91

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Solution

The fourth proportional to 206,757.97, 285,332.88 and 116,129.91 is: 160,263.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,757.97 : 285,332.88 = 116,129.91 : x
  2. Step 2: Convert to fraction form
    206,757.97/285,332.88 = 116,129.91/x
  3. Step 3: Cross multiply
    206,757.97x = 285,332.88 × 116,129.91
  4. Step 4: Simplify right side
    206,757.97x = 33,135,681,674.44
  5. Step 5: Solve for x
    x = 33,135,681,674.44/206,757.97
  6. Step 6: Final answer
    x = 160,263.14

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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.