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Finding the Fourth Proportional to 225,966.36, 338,958.36 and 68,194.83

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Solution

The fourth proportional to 225,966.36, 338,958.36 and 68,194.83 is: 102,294.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,966.36 : 338,958.36 = 68,194.83 : x
  2. Step 2: Convert to fraction form
    225,966.36/338,958.36 = 68,194.83/x
  3. Step 3: Cross multiply
    225,966.36x = 338,958.36 × 68,194.83
  4. Step 4: Simplify right side
    225,966.36x = 23,115,207,737.28
  5. Step 5: Solve for x
    x = 23,115,207,737.28/225,966.36
  6. Step 6: Final answer
    x = 102,294.91

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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.