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Finding the Fourth Proportional to 225,830.80, 338,800.87 and 113,231.28

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Solution

The fourth proportional to 225,830.80, 338,800.87 and 113,231.28 is: 169,874.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,830.80 : 338,800.87 = 113,231.28 : x
  2. Step 2: Convert to fraction form
    225,830.80/338,800.87 = 113,231.28/x
  3. Step 3: Cross multiply
    225,830.80x = 338,800.87 × 113,231.28
  4. Step 4: Simplify right side
    225,830.80x = 38,362,856,175.21
  5. Step 5: Solve for x
    x = 38,362,856,175.21/225,830.80
  6. Step 6: Final answer
    x = 169,874.34

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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.