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Finding the Fourth Proportional to 278,269.02, 417,410.82 and 78,610.50

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Solution

The fourth proportional to 278,269.02, 417,410.82 and 78,610.50 is: 117,917.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,269.02 : 417,410.82 = 78,610.50 : x
  2. Step 2: Convert to fraction form
    278,269.02/417,410.82 = 78,610.50/x
  3. Step 3: Cross multiply
    278,269.02x = 417,410.82 × 78,610.50
  4. Step 4: Simplify right side
    278,269.02x = 32,812,873,265.61
  5. Step 5: Solve for x
    x = 32,812,873,265.61/278,269.02
  6. Step 6: Final answer
    x = 117,917.81

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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.