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Finding the Fourth Proportional to 132,164.27, 182,386.90 and 71,734.91

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Solution

The fourth proportional to 132,164.27, 182,386.90 and 71,734.91 is: 98,994.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,164.27 : 182,386.90 = 71,734.91 : x
  2. Step 2: Convert to fraction form
    132,164.27/182,386.90 = 71,734.91/x
  3. Step 3: Cross multiply
    132,164.27x = 182,386.90 × 71,734.91
  4. Step 4: Simplify right side
    132,164.27x = 13,083,507,856.68
  5. Step 5: Solve for x
    x = 13,083,507,856.68/132,164.27
  6. Step 6: Final answer
    x = 98,994.29

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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.