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Finding the Fourth Proportional to 132,456.62, 182,784.57 and 75,099.80

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Solution

The fourth proportional to 132,456.62, 182,784.57 and 75,099.80 is: 103,634.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,456.62 : 182,784.57 = 75,099.80 : x
  2. Step 2: Convert to fraction form
    132,456.62/182,784.57 = 75,099.80/x
  3. Step 3: Cross multiply
    132,456.62x = 182,784.57 × 75,099.80
  4. Step 4: Simplify right side
    132,456.62x = 13,727,083,360.66
  5. Step 5: Solve for x
    x = 13,727,083,360.66/132,456.62
  6. Step 6: Final answer
    x = 103,634.56

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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.