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Finding the Fourth Proportional to 132,493.76, 182,836.13 and 72,064.31

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Solution

The fourth proportional to 132,493.76, 182,836.13 and 72,064.31 is: 99,445.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,493.76 : 182,836.13 = 72,064.31 : x
  2. Step 2: Convert to fraction form
    132,493.76/182,836.13 = 72,064.31/x
  3. Step 3: Cross multiply
    132,493.76x = 182,836.13 × 72,064.31
  4. Step 4: Simplify right side
    132,493.76x = 13,175,959,551.52
  5. Step 5: Solve for x
    x = 13,175,959,551.52/132,493.76
  6. Step 6: Final answer
    x = 99,445.89

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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.