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Finding the Fourth Proportional to 452,687.14, 678,861.12 and 132,772.78

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Solution

The fourth proportional to 452,687.14, 678,861.12 and 132,772.78 is: 199,109.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,687.14 : 678,861.12 = 132,772.78 : x
  2. Step 2: Convert to fraction form
    452,687.14/678,861.12 = 132,772.78/x
  3. Step 3: Cross multiply
    452,687.14x = 678,861.12 × 132,772.78
  4. Step 4: Simplify right side
    452,687.14x = 90,134,278,136.31
  5. Step 5: Solve for x
    x = 90,134,278,136.31/452,687.14
  6. Step 6: Final answer
    x = 199,109.43

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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.