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Finding the Fourth Proportional to 225,974.21, 338,963.94 and 68,209.29

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Solution

The fourth proportional to 225,974.21, 338,963.94 and 68,209.29 is: 102,314.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,974.21 : 338,963.94 = 68,209.29 : x
  2. Step 2: Convert to fraction form
    225,974.21/338,963.94 = 68,209.29/x
  3. Step 3: Cross multiply
    225,974.21x = 338,963.94 × 68,209.29
  4. Step 4: Simplify right side
    225,974.21x = 23,120,489,683.00
  5. Step 5: Solve for x
    x = 23,120,489,683.00/225,974.21
  6. Step 6: Final answer
    x = 102,314.73

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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.