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Finding the Fourth Proportional to 278,632.45, 417,948.68 and 68,268.56

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Solution

The fourth proportional to 278,632.45, 417,948.68 and 68,268.56 is: 102,402.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,632.45 : 417,948.68 = 68,268.56 : x
  2. Step 2: Convert to fraction form
    278,632.45/417,948.68 = 68,268.56/x
  3. Step 3: Cross multiply
    278,632.45x = 417,948.68 × 68,268.56
  4. Step 4: Simplify right side
    278,632.45x = 28,532,755,241.03
  5. Step 5: Solve for x
    x = 28,532,755,241.03/278,632.45
  6. Step 6: Final answer
    x = 102,402.84

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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.