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Finding the Fourth Proportional to 225,922.70, 338,774.61 and 68,121.74

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Solution

The fourth proportional to 225,922.70, 338,774.61 and 68,121.74 is: 102,149.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,922.70 : 338,774.61 = 68,121.74 : x
  2. Step 2: Convert to fraction form
    225,922.70/338,774.61 = 68,121.74/x
  3. Step 3: Cross multiply
    225,922.70x = 338,774.61 × 68,121.74
  4. Step 4: Simplify right side
    225,922.70x = 23,077,915,901.02
  5. Step 5: Solve for x
    x = 23,077,915,901.02/225,922.70
  6. Step 6: Final answer
    x = 102,149.61

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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.