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Finding the Fourth Proportional to 283,765.23, 425,649.36 and 84,087.33

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Solution

The fourth proportional to 283,765.23, 425,649.36 and 84,087.33 is: 126,131.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,765.23 : 425,649.36 = 84,087.33 : x
  2. Step 2: Convert to fraction form
    283,765.23/425,649.36 = 84,087.33/x
  3. Step 3: Cross multiply
    283,765.23x = 425,649.36 × 84,087.33
  4. Step 4: Simplify right side
    283,765.23x = 35,791,718,198.61
  5. Step 5: Solve for x
    x = 35,791,718,198.61/283,765.23
  6. Step 6: Final answer
    x = 126,131.44

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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.