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Finding the Fourth Proportional to 132,172.38, 182,394.99 and 71,743.14

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Solution

The fourth proportional to 132,172.38, 182,394.99 and 71,743.14 is: 99,003.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,172.38 : 182,394.99 = 71,743.14 : x
  2. Step 2: Convert to fraction form
    132,172.38/182,394.99 = 71,743.14/x
  3. Step 3: Cross multiply
    132,172.38x = 182,394.99 × 71,743.14
  4. Step 4: Simplify right side
    132,172.38x = 13,085,589,302.87
  5. Step 5: Solve for x
    x = 13,085,589,302.87/132,172.38
  6. Step 6: Final answer
    x = 99,003.96

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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.