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Finding the Fourth Proportional to 278,499.42, 417,757.32 and 68,137.38

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Solution

The fourth proportional to 278,499.42, 417,757.32 and 68,137.38 is: 102,208.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,499.42 : 417,757.32 = 68,137.38 : x
  2. Step 2: Convert to fraction form
    278,499.42/417,757.32 = 68,137.38/x
  3. Step 3: Cross multiply
    278,499.42x = 417,757.32 × 68,137.38
  4. Step 4: Simplify right side
    278,499.42x = 28,464,889,260.62
  5. Step 5: Solve for x
    x = 28,464,889,260.62/278,499.42
  6. Step 6: Final answer
    x = 102,208.07

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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.