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Finding the Fourth Proportional to 165,066, 227,793.78 and 89,614.56

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Solution

The fourth proportional to 165,066, 227,793.78 and 89,614.56 is: 123,669.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,066 : 227,793.78 = 89,614.56 : x
  2. Step 2: Convert to fraction form
    165,066/227,793.78 = 89,614.56/x
  3. Step 3: Cross multiply
    165,066x = 227,793.78 × 89,614.56
  4. Step 4: Simplify right side
    165,066x = 20,413,639,365.44
  5. Step 5: Solve for x
    x = 20,413,639,365.44/165,066
  6. Step 6: Final answer
    x = 123,669.56

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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.