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Finding the Fourth Proportional to 96,196.25, 132,750.60 and 53,754.78

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Solution

The fourth proportional to 96,196.25, 132,750.60 and 53,754.78 is: 74,181.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,196.25 : 132,750.60 = 53,754.78 : x
  2. Step 2: Convert to fraction form
    96,196.25/132,750.60 = 53,754.78/x
  3. Step 3: Cross multiply
    96,196.25x = 132,750.60 × 53,754.78
  4. Step 4: Simplify right side
    96,196.25x = 7,135,979,297.87
  5. Step 5: Solve for x
    x = 7,135,979,297.87/96,196.25
  6. Step 6: Final answer
    x = 74,181.47

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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.