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Finding the Fourth Proportional to 269,906.46, 404,864.49 and 82,919.58

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Solution

The fourth proportional to 269,906.46, 404,864.49 and 82,919.58 is: 124,380.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,906.46 : 404,864.49 = 82,919.58 : x
  2. Step 2: Convert to fraction form
    269,906.46/404,864.49 = 82,919.58/x
  3. Step 3: Cross multiply
    269,906.46x = 404,864.49 × 82,919.58
  4. Step 4: Simplify right side
    269,906.46x = 33,571,193,467.71
  5. Step 5: Solve for x
    x = 33,571,193,467.71/269,906.46
  6. Step 6: Final answer
    x = 124,380.84

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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.