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Finding the Fourth Proportional to 275,858.26, 413,745.27 and 131,727.22

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Solution

The fourth proportional to 275,858.26, 413,745.27 and 131,727.22 is: 197,570.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,858.26 : 413,745.27 = 131,727.22 : x
  2. Step 2: Convert to fraction form
    275,858.26/413,745.27 = 131,727.22/x
  3. Step 3: Cross multiply
    275,858.26x = 413,745.27 × 131,727.22
  4. Step 4: Simplify right side
    275,858.26x = 54,501,514,205.25
  5. Step 5: Solve for x
    x = 54,501,514,205.25/275,858.26
  6. Step 6: Final answer
    x = 197,570.72

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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.