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Finding the Fourth Proportional to 318,193.92, 439,174.38 and 201,832.14

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Solution

The fourth proportional to 318,193.92, 439,174.38 and 201,832.14 is: 278,570.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,193.92 : 439,174.38 = 201,832.14 : x
  2. Step 2: Convert to fraction form
    318,193.92/439,174.38 = 201,832.14/x
  3. Step 3: Cross multiply
    318,193.92x = 439,174.38 × 201,832.14
  4. Step 4: Simplify right side
    318,193.92x = 88,639,504,948.57
  5. Step 5: Solve for x
    x = 88,639,504,948.57/318,193.92
  6. Step 6: Final answer
    x = 278,570.71

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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.