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Finding the Fourth Proportional to 132,882.25, 199,416.77 and 120,177.48

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Solution

The fourth proportional to 132,882.25, 199,416.77 and 120,177.48 is: 180,350.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,882.25 : 199,416.77 = 120,177.48 : x
  2. Step 2: Convert to fraction form
    132,882.25/199,416.77 = 120,177.48/x
  3. Step 3: Cross multiply
    132,882.25x = 199,416.77 × 120,177.48
  4. Step 4: Simplify right side
    132,882.25x = 23,965,404,888.34
  5. Step 5: Solve for x
    x = 23,965,404,888.34/132,882.25
  6. Step 6: Final answer
    x = 180,350.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.