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Finding the Fourth Proportional to 224,635.10, 337,032.78 and 96,497.54

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Solution

The fourth proportional to 224,635.10, 337,032.78 and 96,497.54 is: 144,780.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,635.10 : 337,032.78 = 96,497.54 : x
  2. Step 2: Convert to fraction form
    224,635.10/337,032.78 = 96,497.54/x
  3. Step 3: Cross multiply
    224,635.10x = 337,032.78 × 96,497.54
  4. Step 4: Simplify right side
    224,635.10x = 32,522,834,169.36
  5. Step 5: Solve for x
    x = 32,522,834,169.36/224,635.10
  6. Step 6: Final answer
    x = 144,780.73

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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.