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Finding the Fourth Proportional to 132,786.91, 199,179.82 and 53,900.47

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Solution

The fourth proportional to 132,786.91, 199,179.82 and 53,900.47 is: 80,850.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,786.91 : 199,179.82 = 53,900.47 : x
  2. Step 2: Convert to fraction form
    132,786.91/199,179.82 = 53,900.47/x
  3. Step 3: Cross multiply
    132,786.91x = 199,179.82 × 53,900.47
  4. Step 4: Simplify right side
    132,786.91x = 10,735,884,781.87
  5. Step 5: Solve for x
    x = 10,735,884,781.87/132,786.91
  6. Step 6: Final answer
    x = 80,850.48

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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.