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Finding the Fourth Proportional to 120,019.50, 180,138.42 and 63,906.66

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Solution

The fourth proportional to 120,019.50, 180,138.42 and 63,906.66 is: 95,918.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,019.50 : 180,138.42 = 63,906.66 : x
  2. Step 2: Convert to fraction form
    120,019.50/180,138.42 = 63,906.66/x
  3. Step 3: Cross multiply
    120,019.50x = 180,138.42 × 63,906.66
  4. Step 4: Simplify right side
    120,019.50x = 11,512,044,759.88
  5. Step 5: Solve for x
    x = 11,512,044,759.88/120,019.50
  6. Step 6: Final answer
    x = 95,918.12

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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.