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Finding the Fourth Proportional to 226,204, 312,174.48 and 125,608.48

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Solution

The fourth proportional to 226,204, 312,174.48 and 125,608.48 is: 173,346.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,204 : 312,174.48 = 125,608.48 : x
  2. Step 2: Convert to fraction form
    226,204/312,174.48 = 125,608.48/x
  3. Step 3: Cross multiply
    226,204x = 312,174.48 × 125,608.48
  4. Step 4: Simplify right side
    226,204x = 39,211,761,927.59
  5. Step 5: Solve for x
    x = 39,211,761,927.59/226,204
  6. Step 6: Final answer
    x = 173,346.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.