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Finding the Fourth Proportional to 143,833.38, 198,487.23 and 80,167.38

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Solution

The fourth proportional to 143,833.38, 198,487.23 and 80,167.38 is: 110,629.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,833.38 : 198,487.23 = 80,167.38 : x
  2. Step 2: Convert to fraction form
    143,833.38/198,487.23 = 80,167.38/x
  3. Step 3: Cross multiply
    143,833.38x = 198,487.23 × 80,167.38
  4. Step 4: Simplify right side
    143,833.38x = 15,912,201,192.56
  5. Step 5: Solve for x
    x = 15,912,201,192.56/143,833.38
  6. Step 6: Final answer
    x = 110,629.40

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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.