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Finding the Fourth Proportional to 279,947.26, 419,834.76 and 80,214.13

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Solution

The fourth proportional to 279,947.26, 419,834.76 and 80,214.13 is: 120,296.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,947.26 : 419,834.76 = 80,214.13 : x
  2. Step 2: Convert to fraction form
    279,947.26/419,834.76 = 80,214.13/x
  3. Step 3: Cross multiply
    279,947.26x = 419,834.76 × 80,214.13
  4. Step 4: Simplify right side
    279,947.26x = 33,676,680,017.16
  5. Step 5: Solve for x
    x = 33,676,680,017.16/279,947.26
  6. Step 6: Final answer
    x = 120,296.52

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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.