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Finding the Fourth Proportional to 206,760.97, 285,337.02 and 116,132.91

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Solution

The fourth proportional to 206,760.97, 285,337.02 and 116,132.91 is: 160,267.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,760.97 : 285,337.02 = 116,132.91 : x
  2. Step 2: Convert to fraction form
    206,760.97/285,337.02 = 116,132.91/x
  3. Step 3: Cross multiply
    206,760.97x = 285,337.02 × 116,132.91
  4. Step 4: Simplify right side
    206,760.97x = 33,137,018,463.33
  5. Step 5: Solve for x
    x = 33,137,018,463.33/206,760.97
  6. Step 6: Final answer
    x = 160,267.28

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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.