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Finding the Fourth Proportional to 132,167.16, 182,389.42 and 71,737.72

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Solution

The fourth proportional to 132,167.16, 182,389.42 and 71,737.72 is: 98,997.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,167.16 : 182,389.42 = 71,737.72 : x
  2. Step 2: Convert to fraction form
    132,167.16/182,389.42 = 71,737.72/x
  3. Step 3: Cross multiply
    132,167.16x = 182,389.42 × 71,737.72
  4. Step 4: Simplify right side
    132,167.16x = 13,084,201,142.92
  5. Step 5: Solve for x
    x = 13,084,201,142.92/132,167.16
  6. Step 6: Final answer
    x = 98,997.37

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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.