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Finding the Fourth Proportional to 120,438.40, 180,657.60 and 76,115.20

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Solution

The fourth proportional to 120,438.40, 180,657.60 and 76,115.20 is: 114,172.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,438.40 : 180,657.60 = 76,115.20 : x
  2. Step 2: Convert to fraction form
    120,438.40/180,657.60 = 76,115.20/x
  3. Step 3: Cross multiply
    120,438.40x = 180,657.60 × 76,115.20
  4. Step 4: Simplify right side
    120,438.40x = 13,750,789,355.52
  5. Step 5: Solve for x
    x = 13,750,789,355.52/120,438.40
  6. Step 6: Final answer
    x = 114,172.80

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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.