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Finding the Fourth Proportional to 132,067.28, 182,251.08 and 75,477.20

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Solution

The fourth proportional to 132,067.28, 182,251.08 and 75,477.20 is: 104,157.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,067.28 : 182,251.08 = 75,477.20 : x
  2. Step 2: Convert to fraction form
    132,067.28/182,251.08 = 75,477.20/x
  3. Step 3: Cross multiply
    132,067.28x = 182,251.08 × 75,477.20
  4. Step 4: Simplify right side
    132,067.28x = 13,755,801,215.38
  5. Step 5: Solve for x
    x = 13,755,801,215.38/132,067.28
  6. Step 6: Final answer
    x = 104,157.53

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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.