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Finding the Fourth Proportional to 225,652.96, 338,391.96 and 120,414.52

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Solution

The fourth proportional to 225,652.96, 338,391.96 and 120,414.52 is: 180,575.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,652.96 : 338,391.96 = 120,414.52 : x
  2. Step 2: Convert to fraction form
    225,652.96/338,391.96 = 120,414.52/x
  3. Step 3: Cross multiply
    225,652.96x = 338,391.96 × 120,414.52
  4. Step 4: Simplify right side
    225,652.96x = 40,747,305,435.26
  5. Step 5: Solve for x
    x = 40,747,305,435.26/225,652.96
  6. Step 6: Final answer
    x = 180,575.10

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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.