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Finding the Fourth Proportional to 192,644.92, 288,938.22 and 52,414.48

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Solution

The fourth proportional to 192,644.92, 288,938.22 and 52,414.48 is: 78,613.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,644.92 : 288,938.22 = 52,414.48 : x
  2. Step 2: Convert to fraction form
    192,644.92/288,938.22 = 52,414.48/x
  3. Step 3: Cross multiply
    192,644.92x = 288,938.22 × 52,414.48
  4. Step 4: Simplify right side
    192,644.92x = 15,144,546,553.43
  5. Step 5: Solve for x
    x = 15,144,546,553.43/192,644.92
  6. Step 6: Final answer
    x = 78,613.79

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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.