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Finding the Fourth Proportional to 266,584.28, 399,876.35 and 106,732.13

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Solution

The fourth proportional to 266,584.28, 399,876.35 and 106,732.13 is: 160,098.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,584.28 : 399,876.35 = 106,732.13 : x
  2. Step 2: Convert to fraction form
    266,584.28/399,876.35 = 106,732.13/x
  3. Step 3: Cross multiply
    266,584.28x = 399,876.35 × 106,732.13
  4. Step 4: Simplify right side
    266,584.28x = 42,679,652,039.08
  5. Step 5: Solve for x
    x = 42,679,652,039.08/266,584.28
  6. Step 6: Final answer
    x = 160,098.16

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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.