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Finding the Fourth Proportional to 182,648.28, 273,711.78 and 82,559.64

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Solution

The fourth proportional to 182,648.28, 273,711.78 and 82,559.64 is: 123,721.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,648.28 : 273,711.78 = 82,559.64 : x
  2. Step 2: Convert to fraction form
    182,648.28/273,711.78 = 82,559.64/x
  3. Step 3: Cross multiply
    182,648.28x = 273,711.78 × 82,559.64
  4. Step 4: Simplify right side
    182,648.28x = 22,597,546,020.56
  5. Step 5: Solve for x
    x = 22,597,546,020.56/182,648.28
  6. Step 6: Final answer
    x = 123,721.65

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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.