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Finding the Fourth Proportional to 120,224.49, 180,425.34 and 57,044.85

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Solution

The fourth proportional to 120,224.49, 180,425.34 and 57,044.85 is: 85,609.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,224.49 : 180,425.34 = 57,044.85 : x
  2. Step 2: Convert to fraction form
    120,224.49/180,425.34 = 57,044.85/x
  3. Step 3: Cross multiply
    120,224.49x = 180,425.34 × 57,044.85
  4. Step 4: Simplify right side
    120,224.49x = 10,292,336,456.50
  5. Step 5: Solve for x
    x = 10,292,336,456.50/120,224.49
  6. Step 6: Final answer
    x = 85,609.32

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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.