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Finding the Fourth Proportional to 132,081.14, 182,224.14 and 86,783.52

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Solution

The fourth proportional to 132,081.14, 182,224.14 and 86,783.52 is: 119,729.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,081.14 : 182,224.14 = 86,783.52 : x
  2. Step 2: Convert to fraction form
    132,081.14/182,224.14 = 86,783.52/x
  3. Step 3: Cross multiply
    132,081.14x = 182,224.14 × 86,783.52
  4. Step 4: Simplify right side
    132,081.14x = 15,814,052,298.17
  5. Step 5: Solve for x
    x = 15,814,052,298.17/132,081.14
  6. Step 6: Final answer
    x = 119,729.83

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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.