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Finding the Fourth Proportional to 275,781.86, 413,290.06 and 125,655.24

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Solution

The fourth proportional to 275,781.86, 413,290.06 and 125,655.24 is: 188,308.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,781.86 : 413,290.06 = 125,655.24 : x
  2. Step 2: Convert to fraction form
    275,781.86/413,290.06 = 125,655.24/x
  3. Step 3: Cross multiply
    275,781.86x = 413,290.06 × 125,655.24
  4. Step 4: Simplify right side
    275,781.86x = 51,932,061,364.78
  5. Step 5: Solve for x
    x = 51,932,061,364.78/275,781.86
  6. Step 6: Final answer
    x = 188,308.48

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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.