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Finding the Fourth Proportional to 206,592.94, 285,086.28 and 115,940.44

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Solution

The fourth proportional to 206,592.94, 285,086.28 and 115,940.44 is: 159,991.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,592.94 : 285,086.28 = 115,940.44 : x
  2. Step 2: Convert to fraction form
    206,592.94/285,086.28 = 115,940.44/x
  3. Step 3: Cross multiply
    206,592.94x = 285,086.28 × 115,940.44
  4. Step 4: Simplify right side
    206,592.94x = 33,053,028,741.16
  5. Step 5: Solve for x
    x = 33,053,028,741.16/206,592.94
  6. Step 6: Final answer
    x = 159,991.09

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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.