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Finding the Fourth Proportional to 283,761.31, 425,643.51 and 84,083.43

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Solution

The fourth proportional to 283,761.31, 425,643.51 and 84,083.43 is: 126,125.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,761.31 : 425,643.51 = 84,083.43 : x
  2. Step 2: Convert to fraction form
    283,761.31/425,643.51 = 84,083.43/x
  3. Step 3: Cross multiply
    283,761.31x = 425,643.51 × 84,083.43
  4. Step 4: Simplify right side
    283,761.31x = 35,789,566,278.04
  5. Step 5: Solve for x
    x = 35,789,566,278.04/283,761.31
  6. Step 6: Final answer
    x = 126,125.60

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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.