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Finding the Fourth Proportional to 422,053.26, 633,091.17 and 137,761.08

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Solution

The fourth proportional to 422,053.26, 633,091.17 and 137,761.08 is: 206,645.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,053.26 : 633,091.17 = 137,761.08 : x
  2. Step 2: Convert to fraction form
    422,053.26/633,091.17 = 137,761.08/x
  3. Step 3: Cross multiply
    422,053.26x = 633,091.17 × 137,761.08
  4. Step 4: Simplify right side
    422,053.26x = 87,215,321,460.18
  5. Step 5: Solve for x
    x = 87,215,321,460.18/422,053.26
  6. Step 6: Final answer
    x = 206,645.30

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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.