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Finding the Fourth Proportional to 132,082.24, 182,273.49 and 75,494.83

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Solution

The fourth proportional to 132,082.24, 182,273.49 and 75,494.83 is: 104,182.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,082.24 : 182,273.49 = 75,494.83 : x
  2. Step 2: Convert to fraction form
    132,082.24/182,273.49 = 75,494.83/x
  3. Step 3: Cross multiply
    132,082.24x = 182,273.49 × 75,494.83
  4. Step 4: Simplify right side
    132,082.24x = 13,760,706,652.00
  5. Step 5: Solve for x
    x = 13,760,706,652.00/132,082.24
  6. Step 6: Final answer
    x = 104,182.87

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