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Finding the Fourth Proportional to 224,132.72, 336,248.92 and 97,793.44

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Solution

The fourth proportional to 224,132.72, 336,248.92 and 97,793.44 is: 146,711.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,132.72 : 336,248.92 = 97,793.44 : x
  2. Step 2: Convert to fraction form
    224,132.72/336,248.92 = 97,793.44/x
  3. Step 3: Cross multiply
    224,132.72x = 336,248.92 × 97,793.44
  4. Step 4: Simplify right side
    224,132.72x = 32,882,938,583.08
  5. Step 5: Solve for x
    x = 32,882,938,583.08/224,132.72
  6. Step 6: Final answer
    x = 146,711.91

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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.