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Finding the Fourth Proportional to 266,515.38, 399,835.74 and 86,600.16

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Solution

The fourth proportional to 266,515.38, 399,835.74 and 86,600.16 is: 129,920.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,515.38 : 399,835.74 = 86,600.16 : x
  2. Step 2: Convert to fraction form
    266,515.38/399,835.74 = 86,600.16/x
  3. Step 3: Cross multiply
    266,515.38x = 399,835.74 × 86,600.16
  4. Step 4: Simplify right side
    266,515.38x = 34,625,839,057.72
  5. Step 5: Solve for x
    x = 34,625,839,057.72/266,515.38
  6. Step 6: Final answer
    x = 129,920.60

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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.