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Finding the Fourth Proportional to 206,546.82, 285,056.46 and 115,927.26

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Solution

The fourth proportional to 206,546.82, 285,056.46 and 115,927.26 is: 159,991.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,546.82 : 285,056.46 = 115,927.26 : x
  2. Step 2: Convert to fraction form
    206,546.82/285,056.46 = 115,927.26/x
  3. Step 3: Cross multiply
    206,546.82x = 285,056.46 × 115,927.26
  4. Step 4: Simplify right side
    206,546.82x = 33,045,814,353.10
  5. Step 5: Solve for x
    x = 33,045,814,353.10/206,546.82
  6. Step 6: Final answer
    x = 159,991.88

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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.