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Finding the Fourth Proportional to 225,947.18, 338,912.04 and 68,171.42

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Solution

The fourth proportional to 225,947.18, 338,912.04 and 68,171.42 is: 102,254.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,947.18 : 338,912.04 = 68,171.42 : x
  2. Step 2: Convert to fraction form
    225,947.18/338,912.04 = 68,171.42/x
  3. Step 3: Cross multiply
    225,947.18x = 338,912.04 × 68,171.42
  4. Step 4: Simplify right side
    225,947.18x = 23,104,115,021.90
  5. Step 5: Solve for x
    x = 23,104,115,021.90/225,947.18
  6. Step 6: Final answer
    x = 102,254.50

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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.