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Finding the Fourth Proportional to 206,549.82, 285,060.60 and 115,930.26

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Solution

The fourth proportional to 206,549.82, 285,060.60 and 115,930.26 is: 159,996.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,549.82 : 285,060.60 = 115,930.26 : x
  2. Step 2: Convert to fraction form
    206,549.82/285,060.60 = 115,930.26/x
  3. Step 3: Cross multiply
    206,549.82x = 285,060.60 × 115,930.26
  4. Step 4: Simplify right side
    206,549.82x = 33,047,149,473.76
  5. Step 5: Solve for x
    x = 33,047,149,473.76/206,549.82
  6. Step 6: Final answer
    x = 159,996.02

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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.