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Finding the Fourth Proportional to 132,446.25, 182,769.87 and 75,084.75

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Solution

The fourth proportional to 132,446.25, 182,769.87 and 75,084.75 is: 103,613.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,446.25 : 182,769.87 = 75,084.75 : x
  2. Step 2: Convert to fraction form
    132,446.25/182,769.87 = 75,084.75/x
  3. Step 3: Cross multiply
    132,446.25x = 182,769.87 × 75,084.75
  4. Step 4: Simplify right side
    132,446.25x = 13,723,229,996.48
  5. Step 5: Solve for x
    x = 13,723,229,996.48/132,446.25
  6. Step 6: Final answer
    x = 103,613.58

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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.