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Finding the Fourth Proportional to 224,817.71, 337,392.87 and 106,489.32

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Solution

The fourth proportional to 224,817.71, 337,392.87 and 106,489.32 is: 159,812.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,817.71 : 337,392.87 = 106,489.32 : x
  2. Step 2: Convert to fraction form
    224,817.71/337,392.87 = 106,489.32/x
  3. Step 3: Cross multiply
    224,817.71x = 337,392.87 × 106,489.32
  4. Step 4: Simplify right side
    224,817.71x = 35,928,737,299.15
  5. Step 5: Solve for x
    x = 35,928,737,299.15/224,817.71
  6. Step 6: Final answer
    x = 159,812.76

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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.