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Finding the Fourth Proportional to 162,083.62, 223,743.63 and 98,441.92

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Solution

The fourth proportional to 162,083.62, 223,743.63 and 98,441.92 is: 135,891.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,083.62 : 223,743.63 = 98,441.92 : x
  2. Step 2: Convert to fraction form
    162,083.62/223,743.63 = 98,441.92/x
  3. Step 3: Cross multiply
    162,083.62x = 223,743.63 × 98,441.92
  4. Step 4: Simplify right side
    162,083.62x = 22,025,752,524.97
  5. Step 5: Solve for x
    x = 22,025,752,524.97/162,083.62
  6. Step 6: Final answer
    x = 135,891.29

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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.