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Finding the Fourth Proportional to 225,163.38, 338,131.44 and 199,919.94

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Solution

The fourth proportional to 225,163.38, 338,131.44 and 199,919.94 is: 300,222.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,163.38 : 338,131.44 = 199,919.94 : x
  2. Step 2: Convert to fraction form
    225,163.38/338,131.44 = 199,919.94/x
  3. Step 3: Cross multiply
    225,163.38x = 338,131.44 × 199,919.94
  4. Step 4: Simplify right side
    225,163.38x = 67,599,217,196.91
  5. Step 5: Solve for x
    x = 67,599,217,196.91/225,163.38
  6. Step 6: Final answer
    x = 300,222.96

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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.