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Finding the Fourth Proportional to 100,206.96, 138,310.56 and 57,791.04

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Solution

The fourth proportional to 100,206.96, 138,310.56 and 57,791.04 is: 79,766.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,206.96 : 138,310.56 = 57,791.04 : x
  2. Step 2: Convert to fraction form
    100,206.96/138,310.56 = 57,791.04/x
  3. Step 3: Cross multiply
    100,206.96x = 138,310.56 × 57,791.04
  4. Step 4: Simplify right side
    100,206.96x = 7,993,111,105.38
  5. Step 5: Solve for x
    x = 7,993,111,105.38/100,206.96
  6. Step 6: Final answer
    x = 79,766.03

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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.