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Finding the Fourth Proportional to 162,382.68, 223,942.92 and 101,958.96

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Solution

The fourth proportional to 162,382.68, 223,942.92 and 101,958.96 is: 140,612.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,382.68 : 223,942.92 = 101,958.96 : x
  2. Step 2: Convert to fraction form
    162,382.68/223,942.92 = 101,958.96/x
  3. Step 3: Cross multiply
    162,382.68x = 223,942.92 × 101,958.96
  4. Step 4: Simplify right side
    162,382.68x = 22,832,987,222.56
  5. Step 5: Solve for x
    x = 22,832,987,222.56/162,382.68
  6. Step 6: Final answer
    x = 140,612.21

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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.