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Finding the Fourth Proportional to 225,428.44, 338,165.19 and 83,311.03

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Solution

The fourth proportional to 225,428.44, 338,165.19 and 83,311.03 is: 124,974.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,428.44 : 338,165.19 = 83,311.03 : x
  2. Step 2: Convert to fraction form
    225,428.44/338,165.19 = 83,311.03/x
  3. Step 3: Cross multiply
    225,428.44x = 338,165.19 × 83,311.03
  4. Step 4: Simplify right side
    225,428.44x = 28,172,890,289.05
  5. Step 5: Solve for x
    x = 28,172,890,289.05/225,428.44
  6. Step 6: Final answer
    x = 124,974.87

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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.