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Finding the Fourth Proportional to 107,769.60, 161,654.40 and 82,857.60

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Solution

The fourth proportional to 107,769.60, 161,654.40 and 82,857.60 is: 124,286.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,769.60 : 161,654.40 = 82,857.60 : x
  2. Step 2: Convert to fraction form
    107,769.60/161,654.40 = 82,857.60/x
  3. Step 3: Cross multiply
    107,769.60x = 161,654.40 × 82,857.60
  4. Step 4: Simplify right side
    107,769.60x = 13,394,295,613.44
  5. Step 5: Solve for x
    x = 13,394,295,613.44/107,769.60
  6. Step 6: Final answer
    x = 124,286.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.