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Finding the Fourth Proportional to 120,204.68, 180,147.74 and 63,923.60

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Solution

The fourth proportional to 120,204.68, 180,147.74 and 63,923.60 is: 95,800.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,204.68 : 180,147.74 = 63,923.60 : x
  2. Step 2: Convert to fraction form
    120,204.68/180,147.74 = 63,923.60/x
  3. Step 3: Cross multiply
    120,204.68x = 180,147.74 × 63,923.60
  4. Step 4: Simplify right side
    120,204.68x = 11,515,691,331.73
  5. Step 5: Solve for x
    x = 11,515,691,331.73/120,204.68
  6. Step 6: Final answer
    x = 95,800.69

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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.