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Finding the Fourth Proportional to 206,896.56, 285,647.97 and 135,397.46

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Solution

The fourth proportional to 206,896.56, 285,647.97 and 135,397.46 is: 186,934.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,896.56 : 285,647.97 = 135,397.46 : x
  2. Step 2: Convert to fraction form
    206,896.56/285,647.97 = 135,397.46/x
  3. Step 3: Cross multiply
    206,896.56x = 285,647.97 × 135,397.46
  4. Step 4: Simplify right side
    206,896.56x = 38,676,009,592.16
  5. Step 5: Solve for x
    x = 38,676,009,592.16/206,896.56
  6. Step 6: Final answer
    x = 186,934.04

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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.