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Finding the Fourth Proportional to 120,123.20, 180,330.60 and 66,857.60

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Solution

The fourth proportional to 120,123.20, 180,330.60 and 66,857.60 is: 100,367.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,123.20 : 180,330.60 = 66,857.60 : x
  2. Step 2: Convert to fraction form
    120,123.20/180,330.60 = 66,857.60/x
  3. Step 3: Cross multiply
    120,123.20x = 180,330.60 × 66,857.60
  4. Step 4: Simplify right side
    120,123.20x = 12,056,471,122.56
  5. Step 5: Solve for x
    x = 12,056,471,122.56/120,123.20
  6. Step 6: Final answer
    x = 100,367.55

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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.