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Finding the Fourth Proportional to 283,309.33, 425,010.15 and 83,649.90

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Solution

The fourth proportional to 283,309.33, 425,010.15 and 83,649.90 is: 125,488.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,309.33 : 425,010.15 = 83,649.90 : x
  2. Step 2: Convert to fraction form
    283,309.33/425,010.15 = 83,649.90/x
  3. Step 3: Cross multiply
    283,309.33x = 425,010.15 × 83,649.90
  4. Step 4: Simplify right side
    283,309.33x = 35,552,056,546.49
  5. Step 5: Solve for x
    x = 35,552,056,546.49/283,309.33
  6. Step 6: Final answer
    x = 125,488.48

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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.