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Finding the Fourth Proportional to 268,902.59, 371,078.37 and 148,044.78

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Solution

The fourth proportional to 268,902.59, 371,078.37 and 148,044.78 is: 204,297.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,902.59 : 371,078.37 = 148,044.78 : x
  2. Step 2: Convert to fraction form
    268,902.59/371,078.37 = 148,044.78/x
  3. Step 3: Cross multiply
    268,902.59x = 371,078.37 × 148,044.78
  4. Step 4: Simplify right side
    268,902.59x = 54,936,215,649.41
  5. Step 5: Solve for x
    x = 54,936,215,649.41/268,902.59
  6. Step 6: Final answer
    x = 204,297.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.