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Finding the Fourth Proportional to 177,644.56, 244,873.32 and 120,958.48

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Solution

The fourth proportional to 177,644.56, 244,873.32 and 120,958.48 is: 166,734.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,644.56 : 244,873.32 = 120,958.48 : x
  2. Step 2: Convert to fraction form
    177,644.56/244,873.32 = 120,958.48/x
  3. Step 3: Cross multiply
    177,644.56x = 244,873.32 × 120,958.48
  4. Step 4: Simplify right side
    177,644.56x = 29,619,504,579.75
  5. Step 5: Solve for x
    x = 29,619,504,579.75/177,644.56
  6. Step 6: Final answer
    x = 166,734.66

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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.