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Finding the Fourth Proportional to 132,253.14, 182,504.31 and 71,822.49

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Solution

The fourth proportional to 132,253.14, 182,504.31 and 71,822.49 is: 99,112.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,253.14 : 182,504.31 = 71,822.49 : x
  2. Step 2: Convert to fraction form
    132,253.14/182,504.31 = 71,822.49/x
  3. Step 3: Cross multiply
    132,253.14x = 182,504.31 × 71,822.49
  4. Step 4: Simplify right side
    132,253.14x = 13,107,913,979.93
  5. Step 5: Solve for x
    x = 13,107,913,979.93/132,253.14
  6. Step 6: Final answer
    x = 99,112.31

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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.