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Finding the Fourth Proportional to 120,052.56, 180,234.36 and 75,768.24

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Solution

The fourth proportional to 120,052.56, 180,234.36 and 75,768.24 is: 113,750.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,052.56 : 180,234.36 = 75,768.24 : x
  2. Step 2: Convert to fraction form
    120,052.56/180,234.36 = 75,768.24/x
  3. Step 3: Cross multiply
    120,052.56x = 180,234.36 × 75,768.24
  4. Step 4: Simplify right side
    120,052.56x = 13,656,040,244.73
  5. Step 5: Solve for x
    x = 13,656,040,244.73/120,052.56
  6. Step 6: Final answer
    x = 113,750.51

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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.