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Finding the Fourth Proportional to 120,278.88, 180,458.39 and 40,324.75

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Solution

The fourth proportional to 120,278.88, 180,458.39 and 40,324.75 is: 60,500.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,278.88 : 180,458.39 = 40,324.75 : x
  2. Step 2: Convert to fraction form
    120,278.88/180,458.39 = 40,324.75/x
  3. Step 3: Cross multiply
    120,278.88x = 180,458.39 × 40,324.75
  4. Step 4: Simplify right side
    120,278.88x = 7,276,939,462.15
  5. Step 5: Solve for x
    x = 7,276,939,462.15/120,278.88
  6. Step 6: Final answer
    x = 60,500.56

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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.