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Finding the Fourth Proportional to 283,713.39, 425,632.38 and 84,049.41

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Solution

The fourth proportional to 283,713.39, 425,632.38 and 84,049.41 is: 126,092.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,713.39 : 425,632.38 = 84,049.41 : x
  2. Step 2: Convert to fraction form
    283,713.39/425,632.38 = 84,049.41/x
  3. Step 3: Cross multiply
    283,713.39x = 425,632.38 × 84,049.41
  4. Step 4: Simplify right side
    283,713.39x = 35,774,150,415.90
  5. Step 5: Solve for x
    x = 35,774,150,415.90/283,713.39
  6. Step 6: Final answer
    x = 126,092.57

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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.