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Finding the Fourth Proportional to 224,731.60, 337,097.40 and 135,939.40

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Solution

The fourth proportional to 224,731.60, 337,097.40 and 135,939.40 is: 203,909.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,731.60 : 337,097.40 = 135,939.40 : x
  2. Step 2: Convert to fraction form
    224,731.60/337,097.40 = 135,939.40/x
  3. Step 3: Cross multiply
    224,731.60x = 337,097.40 × 135,939.40
  4. Step 4: Simplify right side
    224,731.60x = 45,824,818,297.56
  5. Step 5: Solve for x
    x = 45,824,818,297.56/224,731.60
  6. Step 6: Final answer
    x = 203,909.10

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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.