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Finding the Fourth Proportional to 278,416.12, 417,669.41 and 86,245.67

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Solution

The fourth proportional to 278,416.12, 417,669.41 and 86,245.67 is: 129,382.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,416.12 : 417,669.41 = 86,245.67 : x
  2. Step 2: Convert to fraction form
    278,416.12/417,669.41 = 86,245.67/x
  3. Step 3: Cross multiply
    278,416.12x = 417,669.41 × 86,245.67
  4. Step 4: Simplify right side
    278,416.12x = 36,022,175,584.38
  5. Step 5: Solve for x
    x = 36,022,175,584.38/278,416.12
  6. Step 6: Final answer
    x = 129,382.51

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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.