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Finding the Fourth Proportional to 225,808.83, 338,940.05 and 200,672.91

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Solution

The fourth proportional to 225,808.83, 338,940.05 and 200,672.91 is: 301,210.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,808.83 : 338,940.05 = 200,672.91 : x
  2. Step 2: Convert to fraction form
    225,808.83/338,940.05 = 200,672.91/x
  3. Step 3: Cross multiply
    225,808.83x = 338,940.05 × 200,672.91
  4. Step 4: Simplify right side
    225,808.83x = 68,016,086,149.05
  5. Step 5: Solve for x
    x = 68,016,086,149.05/225,808.83
  6. Step 6: Final answer
    x = 301,210.92

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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.