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Finding the Fourth Proportional to 132,167.85, 182,386.76 and 71,737.21

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Solution

The fourth proportional to 132,167.85, 182,386.76 and 71,737.21 is: 98,994.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,167.85 : 182,386.76 = 71,737.21 : x
  2. Step 2: Convert to fraction form
    132,167.85/182,386.76 = 71,737.21/x
  3. Step 3: Cross multiply
    132,167.85x = 182,386.76 × 71,737.21
  4. Step 4: Simplify right side
    132,167.85x = 13,083,917,172.64
  5. Step 5: Solve for x
    x = 13,083,917,172.64/132,167.85
  6. Step 6: Final answer
    x = 98,994.70

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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.