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Finding the Fourth Proportional to 224,772.09, 337,324.05 and 106,443.24

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Solution

The fourth proportional to 224,772.09, 337,324.05 and 106,443.24 is: 159,743.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,772.09 : 337,324.05 = 106,443.24 : x
  2. Step 2: Convert to fraction form
    224,772.09/337,324.05 = 106,443.24/x
  3. Step 3: Cross multiply
    224,772.09x = 337,324.05 × 106,443.24
  4. Step 4: Simplify right side
    224,772.09x = 35,905,864,811.92
  5. Step 5: Solve for x
    x = 35,905,864,811.92/224,772.09
  6. Step 6: Final answer
    x = 159,743.43

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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.