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Finding the Fourth Proportional to 132,042.39, 182,241.78 and 78,357

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Solution

The fourth proportional to 132,042.39, 182,241.78 and 78,357 is: 108,146.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,042.39 : 182,241.78 = 78,357 : x
  2. Step 2: Convert to fraction form
    132,042.39/182,241.78 = 78,357/x
  3. Step 3: Cross multiply
    132,042.39x = 182,241.78 × 78,357
  4. Step 4: Simplify right side
    132,042.39x = 14,279,919,155.46
  5. Step 5: Solve for x
    x = 14,279,919,155.46/132,042.39
  6. Step 6: Final answer
    x = 108,146.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.