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Finding the Fourth Proportional to 279,922.60, 419,900.10 and 80,257.60

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Solution

The fourth proportional to 279,922.60, 419,900.10 and 80,257.60 is: 120,391.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,922.60 : 419,900.10 = 80,257.60 : x
  2. Step 2: Convert to fraction form
    279,922.60/419,900.10 = 80,257.60/x
  3. Step 3: Cross multiply
    279,922.60x = 419,900.10 × 80,257.60
  4. Step 4: Simplify right side
    279,922.60x = 33,700,174,265.76
  5. Step 5: Solve for x
    x = 33,700,174,265.76/279,922.60
  6. Step 6: Final answer
    x = 120,391.04

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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.