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Finding the Fourth Proportional to 132,475.92, 182,811.24 and 75,892.56

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Solution

The fourth proportional to 132,475.92, 182,811.24 and 75,892.56 is: 104,728.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,475.92 : 182,811.24 = 75,892.56 : x
  2. Step 2: Convert to fraction form
    132,475.92/182,811.24 = 75,892.56/x
  3. Step 3: Cross multiply
    132,475.92x = 182,811.24 × 75,892.56
  4. Step 4: Simplify right side
    132,475.92x = 13,874,013,000.37
  5. Step 5: Solve for x
    x = 13,874,013,000.37/132,475.92
  6. Step 6: Final answer
    x = 104,728.57

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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.