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Finding the Fourth Proportional to 225,879.34, 338,800.55 and 76,116.31

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Solution

The fourth proportional to 225,879.34, 338,800.55 and 76,116.31 is: 114,168.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,879.34 : 338,800.55 = 76,116.31 : x
  2. Step 2: Convert to fraction form
    225,879.34/338,800.55 = 76,116.31/x
  3. Step 3: Cross multiply
    225,879.34x = 338,800.55 × 76,116.31
  4. Step 4: Simplify right side
    225,879.34x = 25,788,247,691.97
  5. Step 5: Solve for x
    x = 25,788,247,691.97/225,879.34
  6. Step 6: Final answer
    x = 114,168.24

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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.