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Finding the Fourth Proportional to 96,205.14, 132,760.89 and 53,767.62

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Solution

The fourth proportional to 96,205.14, 132,760.89 and 53,767.62 is: 74,198.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,205.14 : 132,760.89 = 53,767.62 : x
  2. Step 2: Convert to fraction form
    96,205.14/132,760.89 = 53,767.62/x
  3. Step 3: Cross multiply
    96,205.14x = 132,760.89 × 53,767.62
  4. Step 4: Simplify right side
    96,205.14x = 7,138,237,084.38
  5. Step 5: Solve for x
    x = 7,138,237,084.38/96,205.14
  6. Step 6: Final answer
    x = 74,198.08

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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.