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Finding the Fourth Proportional to 206,791.72, 285,359.43 and 116,145.34

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Solution

The fourth proportional to 206,791.72, 285,359.43 and 116,145.34 is: 160,273.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,791.72 : 285,359.43 = 116,145.34 : x
  2. Step 2: Convert to fraction form
    206,791.72/285,359.43 = 116,145.34/x
  3. Step 3: Cross multiply
    206,791.72x = 285,359.43 × 116,145.34
  4. Step 4: Simplify right side
    206,791.72x = 33,143,168,019.56
  5. Step 5: Solve for x
    x = 33,143,168,019.56/206,791.72
  6. Step 6: Final answer
    x = 160,273.19

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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.