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Finding the Fourth Proportional to 283,755.96, 425,696.21 and 84,091.97

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Solution

The fourth proportional to 283,755.96, 425,696.21 and 84,091.97 is: 126,156.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,755.96 : 425,696.21 = 84,091.97 : x
  2. Step 2: Convert to fraction form
    283,755.96/425,696.21 = 84,091.97/x
  3. Step 3: Cross multiply
    283,755.96x = 425,696.21 × 84,091.97
  4. Step 4: Simplify right side
    283,755.96x = 35,797,633,879.56
  5. Step 5: Solve for x
    x = 35,797,633,879.56/283,755.96
  6. Step 6: Final answer
    x = 126,156.41

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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.