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Finding the Fourth Proportional to 159,984.96, 220,709.52 and 96,286.56

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Solution

The fourth proportional to 159,984.96, 220,709.52 and 96,286.56 is: 132,833.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,984.96 : 220,709.52 = 96,286.56 : x
  2. Step 2: Convert to fraction form
    159,984.96/220,709.52 = 96,286.56/x
  3. Step 3: Cross multiply
    159,984.96x = 220,709.52 × 96,286.56
  4. Step 4: Simplify right side
    159,984.96x = 21,251,360,440.05
  5. Step 5: Solve for x
    x = 21,251,360,440.05/159,984.96
  6. Step 6: Final answer
    x = 132,833.49

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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.