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Finding the Fourth Proportional to 225,866.34, 338,830.77 and 76,149.44

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Solution

The fourth proportional to 225,866.34, 338,830.77 and 76,149.44 is: 114,234.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,866.34 : 338,830.77 = 76,149.44 : x
  2. Step 2: Convert to fraction form
    225,866.34/338,830.77 = 76,149.44/x
  3. Step 3: Cross multiply
    225,866.34x = 338,830.77 × 76,149.44
  4. Step 4: Simplify right side
    225,866.34x = 25,801,773,991.08
  5. Step 5: Solve for x
    x = 25,801,773,991.08/225,866.34
  6. Step 6: Final answer
    x = 114,234.70

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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.