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Finding the Fourth Proportional to 132,146.38, 182,513.37 and 87,026.04

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Solution

The fourth proportional to 132,146.38, 182,513.37 and 87,026.04 is: 120,195.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,146.38 : 182,513.37 = 87,026.04 : x
  2. Step 2: Convert to fraction form
    132,146.38/182,513.37 = 87,026.04/x
  3. Step 3: Cross multiply
    132,146.38x = 182,513.37 × 87,026.04
  4. Step 4: Simplify right side
    132,146.38x = 15,883,414,490.46
  5. Step 5: Solve for x
    x = 15,883,414,490.46/132,146.38
  6. Step 6: Final answer
    x = 120,195.61

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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.