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Finding the Fourth Proportional to 206,896.24, 285,549.24 and 122,022.64

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Solution

The fourth proportional to 206,896.24, 285,549.24 and 122,022.64 is: 168,410.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,896.24 : 285,549.24 = 122,022.64 : x
  2. Step 2: Convert to fraction form
    206,896.24/285,549.24 = 122,022.64/x
  3. Step 3: Cross multiply
    206,896.24x = 285,549.24 × 122,022.64
  4. Step 4: Simplify right side
    206,896.24x = 34,843,472,114.79
  5. Step 5: Solve for x
    x = 34,843,472,114.79/206,896.24
  6. Step 6: Final answer
    x = 168,410.37

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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.