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Finding the Fourth Proportional to 283,489.25, 425,086.24 and 105,850.17

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Solution

The fourth proportional to 283,489.25, 425,086.24 and 105,850.17 is: 158,720.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,489.25 : 425,086.24 = 105,850.17 : x
  2. Step 2: Convert to fraction form
    283,489.25/425,086.24 = 105,850.17/x
  3. Step 3: Cross multiply
    283,489.25x = 425,086.24 × 105,850.17
  4. Step 4: Simplify right side
    283,489.25x = 44,995,450,768.66
  5. Step 5: Solve for x
    x = 44,995,450,768.66/283,489.25
  6. Step 6: Final answer
    x = 158,720.13

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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.