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Finding the Fourth Proportional to 287,227.59, 396,370.74 and 158,163.38

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Solution

The fourth proportional to 287,227.59, 396,370.74 and 158,163.38 is: 218,263.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,227.59 : 396,370.74 = 158,163.38 : x
  2. Step 2: Convert to fraction form
    287,227.59/396,370.74 = 158,163.38/x
  3. Step 3: Cross multiply
    287,227.59x = 396,370.74 × 158,163.38
  4. Step 4: Simplify right side
    287,227.59x = 62,691,337,853.90
  5. Step 5: Solve for x
    x = 62,691,337,853.90/287,227.59
  6. Step 6: Final answer
    x = 218,263.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.