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Finding the Fourth Proportional to 133,446.16, 200,169.24 and 80,870.68

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Solution

The fourth proportional to 133,446.16, 200,169.24 and 80,870.68 is: 121,306.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,446.16 : 200,169.24 = 80,870.68 : x
  2. Step 2: Convert to fraction form
    133,446.16/200,169.24 = 80,870.68/x
  3. Step 3: Cross multiply
    133,446.16x = 200,169.24 × 80,870.68
  4. Step 4: Simplify right side
    133,446.16x = 16,187,822,553.88
  5. Step 5: Solve for x
    x = 16,187,822,553.88/133,446.16
  6. Step 6: Final answer
    x = 121,306.02

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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.