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Finding the Fourth Proportional to 224,892.24, 337,389.24 and 67,114.80

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Solution

The fourth proportional to 224,892.24, 337,389.24 and 67,114.80 is: 100,687.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,892.24 : 337,389.24 = 67,114.80 : x
  2. Step 2: Convert to fraction form
    224,892.24/337,389.24 = 67,114.80/x
  3. Step 3: Cross multiply
    224,892.24x = 337,389.24 × 67,114.80
  4. Step 4: Simplify right side
    224,892.24x = 22,643,811,364.75
  5. Step 5: Solve for x
    x = 22,643,811,364.75/224,892.24
  6. Step 6: Final answer
    x = 100,687.38

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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.