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Finding the Fourth Proportional to 224,747.28, 337,248.72 and 82,574.28

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Solution

The fourth proportional to 224,747.28, 337,248.72 and 82,574.28 is: 123,908.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,747.28 : 337,248.72 = 82,574.28 : x
  2. Step 2: Convert to fraction form
    224,747.28/337,248.72 = 82,574.28/x
  3. Step 3: Cross multiply
    224,747.28x = 337,248.72 × 82,574.28
  4. Step 4: Simplify right side
    224,747.28x = 27,848,070,234.92
  5. Step 5: Solve for x
    x = 27,848,070,234.92/224,747.28
  6. Step 6: Final answer
    x = 123,908.37

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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.