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Finding the Fourth Proportional to 132,173.10, 182,394 and 71,742.47

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Solution

The fourth proportional to 132,173.10, 182,394 and 71,742.47 is: 99,001.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,173.10 : 182,394 = 71,742.47 : x
  2. Step 2: Convert to fraction form
    132,173.10/182,394 = 71,742.47/x
  3. Step 3: Cross multiply
    132,173.10x = 182,394 × 71,742.47
  4. Step 4: Simplify right side
    132,173.10x = 13,085,396,073.18
  5. Step 5: Solve for x
    x = 13,085,396,073.18/132,173.10
  6. Step 6: Final answer
    x = 99,001.96

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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.