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Finding the Fourth Proportional to 275,401.26, 413,101.89 and 88,543.98

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Solution

The fourth proportional to 275,401.26, 413,101.89 and 88,543.98 is: 132,815.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,401.26 : 413,101.89 = 88,543.98 : x
  2. Step 2: Convert to fraction form
    275,401.26/413,101.89 = 88,543.98/x
  3. Step 3: Cross multiply
    275,401.26x = 413,101.89 × 88,543.98
  4. Step 4: Simplify right side
    275,401.26x = 36,577,685,486.12
  5. Step 5: Solve for x
    x = 36,577,685,486.12/275,401.26
  6. Step 6: Final answer
    x = 132,815.97

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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.