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Finding the Fourth Proportional to 132,327.11, 182,541.48 and 83,843.48

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Solution

The fourth proportional to 132,327.11, 182,541.48 and 83,843.48 is: 115,659.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,327.11 : 182,541.48 = 83,843.48 : x
  2. Step 2: Convert to fraction form
    132,327.11/182,541.48 = 83,843.48/x
  3. Step 3: Cross multiply
    132,327.11x = 182,541.48 × 83,843.48
  4. Step 4: Simplify right side
    132,327.11x = 15,304,912,927.55
  5. Step 5: Solve for x
    x = 15,304,912,927.55/132,327.11
  6. Step 6: Final answer
    x = 115,659.69

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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.