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Finding the Fourth Proportional to 283,780.33, 425,737.32 and 84,102.37

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Solution

The fourth proportional to 283,780.33, 425,737.32 and 84,102.37 is: 126,173.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,780.33 : 425,737.32 = 84,102.37 : x
  2. Step 2: Convert to fraction form
    283,780.33/425,737.32 = 84,102.37/x
  3. Step 3: Cross multiply
    283,780.33x = 425,737.32 × 84,102.37
  4. Step 4: Simplify right side
    283,780.33x = 35,805,517,609.45
  5. Step 5: Solve for x
    x = 35,805,517,609.45/283,780.33
  6. Step 6: Final answer
    x = 126,173.36

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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.