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Finding the Fourth Proportional to 269,819.44, 404,658.61 and 80,228.75

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Solution

The fourth proportional to 269,819.44, 404,658.61 and 80,228.75 is: 120,322.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,819.44 : 404,658.61 = 80,228.75 : x
  2. Step 2: Convert to fraction form
    269,819.44/404,658.61 = 80,228.75/x
  3. Step 3: Cross multiply
    269,819.44x = 404,658.61 × 80,228.75
  4. Step 4: Simplify right side
    269,819.44x = 32,465,252,233.17
  5. Step 5: Solve for x
    x = 32,465,252,233.17/269,819.44
  6. Step 6: Final answer
    x = 120,322.14

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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.