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Finding the Fourth Proportional to 283,755.72, 425,695.84 and 84,091.74

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Solution

The fourth proportional to 283,755.72, 425,695.84 and 84,091.74 is: 126,156.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,755.72 : 425,695.84 = 84,091.74 : x
  2. Step 2: Convert to fraction form
    283,755.72/425,695.84 = 84,091.74/x
  3. Step 3: Cross multiply
    283,755.72x = 425,695.84 × 84,091.74
  4. Step 4: Simplify right side
    283,755.72x = 35,797,503,896.36
  5. Step 5: Solve for x
    x = 35,797,503,896.36/283,755.72
  6. Step 6: Final answer
    x = 126,156.06

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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.