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Finding the Fourth Proportional to 279,946.26, 419,833.26 and 80,213.13

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Solution

The fourth proportional to 279,946.26, 419,833.26 and 80,213.13 is: 120,295.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,946.26 : 419,833.26 = 80,213.13 : x
  2. Step 2: Convert to fraction form
    279,946.26/419,833.26 = 80,213.13/x
  3. Step 3: Cross multiply
    279,946.26x = 419,833.26 × 80,213.13
  4. Step 4: Simplify right side
    279,946.26x = 33,676,139,862.70
  5. Step 5: Solve for x
    x = 33,676,139,862.70/279,946.26
  6. Step 6: Final answer
    x = 120,295.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.