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Finding the Fourth Proportional to 150,680, 207,944.88 and 83,612

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Solution

The fourth proportional to 150,680, 207,944.88 and 83,612 is: 115,388.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,680 : 207,944.88 = 83,612 : x
  2. Step 2: Convert to fraction form
    150,680/207,944.88 = 83,612/x
  3. Step 3: Cross multiply
    150,680x = 207,944.88 × 83,612
  4. Step 4: Simplify right side
    150,680x = 17,386,687,306.56
  5. Step 5: Solve for x
    x = 17,386,687,306.56/150,680
  6. Step 6: Final answer
    x = 115,388.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.