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Finding the Fourth Proportional to 283,840.05, 425,687.49 and 84,113.82

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Solution

The fourth proportional to 283,840.05, 425,687.49 and 84,113.82 is: 126,149.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,840.05 : 425,687.49 = 84,113.82 : x
  2. Step 2: Convert to fraction form
    283,840.05/425,687.49 = 84,113.82/x
  3. Step 3: Cross multiply
    283,840.05x = 425,687.49 × 84,113.82
  4. Step 4: Simplify right side
    283,840.05x = 35,806,200,910.11
  5. Step 5: Solve for x
    x = 35,806,200,910.11/283,840.05
  6. Step 6: Final answer
    x = 126,149.22

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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.