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Finding the Fourth Proportional to 132,924.80, 199,383.96 and 54,019.46

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Solution

The fourth proportional to 132,924.80, 199,383.96 and 54,019.46 is: 81,027.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,924.80 : 199,383.96 = 54,019.46 : x
  2. Step 2: Convert to fraction form
    132,924.80/199,383.96 = 54,019.46/x
  3. Step 3: Cross multiply
    132,924.80x = 199,383.96 × 54,019.46
  4. Step 4: Simplify right side
    132,924.80x = 10,770,613,851.86
  5. Step 5: Solve for x
    x = 10,770,613,851.86/132,924.80
  6. Step 6: Final answer
    x = 81,027.87

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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.