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Finding the Fourth Proportional to 279,937.80, 419,780.30 and 80,212.52

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Solution

The fourth proportional to 279,937.80, 419,780.30 and 80,212.52 is: 120,282.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,937.80 : 419,780.30 = 80,212.52 : x
  2. Step 2: Convert to fraction form
    279,937.80/419,780.30 = 80,212.52/x
  3. Step 3: Cross multiply
    279,937.80x = 419,780.30 × 80,212.52
  4. Step 4: Simplify right side
    279,937.80x = 33,671,635,709.36
  5. Step 5: Solve for x
    x = 33,671,635,709.36/279,937.80
  6. Step 6: Final answer
    x = 120,282.56

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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.