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Finding the Fourth Proportional to 96,203.30, 132,760.16 and 53,761.82

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Solution

The fourth proportional to 96,203.30, 132,760.16 and 53,761.82 is: 74,191.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,203.30 : 132,760.16 = 53,761.82 : x
  2. Step 2: Convert to fraction form
    96,203.30/132,760.16 = 53,761.82/x
  3. Step 3: Cross multiply
    96,203.30x = 132,760.16 × 53,761.82
  4. Step 4: Simplify right side
    96,203.30x = 7,137,427,825.09
  5. Step 5: Solve for x
    x = 7,137,427,825.09/96,203.30
  6. Step 6: Final answer
    x = 74,191.09

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1.5x scale

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.