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Finding the Fourth Proportional to 225,935.80, 338,906.10 and 68,165.62

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Solution

The fourth proportional to 225,935.80, 338,906.10 and 68,165.62 is: 102,249.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,935.80 : 338,906.10 = 68,165.62 : x
  2. Step 2: Convert to fraction form
    225,935.80/338,906.10 = 68,165.62/x
  3. Step 3: Cross multiply
    225,935.80x = 338,906.10 × 68,165.62
  4. Step 4: Simplify right side
    225,935.80x = 23,101,744,428.28
  5. Step 5: Solve for x
    x = 23,101,744,428.28/225,935.80
  6. Step 6: Final answer
    x = 102,249.15

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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.