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Finding the Fourth Proportional to 266,044.71, 399,091.65 and 106,082.04

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Solution

The fourth proportional to 266,044.71, 399,091.65 and 106,082.04 is: 159,132.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,044.71 : 399,091.65 = 106,082.04 : x
  2. Step 2: Convert to fraction form
    266,044.71/399,091.65 = 106,082.04/x
  3. Step 3: Cross multiply
    266,044.71x = 399,091.65 × 106,082.04
  4. Step 4: Simplify right side
    266,044.71x = 42,336,456,378.97
  5. Step 5: Solve for x
    x = 42,336,456,378.97/266,044.71
  6. Step 6: Final answer
    x = 159,132.86

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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.