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Finding the Fourth Proportional to 278,531.20, 417,868.80 and 120,723.20

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Solution

The fourth proportional to 278,531.20, 417,868.80 and 120,723.20 is: 181,116.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,531.20 : 417,868.80 = 120,723.20 : x
  2. Step 2: Convert to fraction form
    278,531.20/417,868.80 = 120,723.20/x
  3. Step 3: Cross multiply
    278,531.20x = 417,868.80 × 120,723.20
  4. Step 4: Simplify right side
    278,531.20x = 50,446,458,716.16
  5. Step 5: Solve for x
    x = 50,446,458,716.16/278,531.20
  6. Step 6: Final answer
    x = 181,116.01

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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.