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Finding the Fourth Proportional to 132,062.64, 182,227.16 and 75,463.08

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Solution

The fourth proportional to 132,062.64, 182,227.16 and 75,463.08 is: 104,128.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,062.64 : 182,227.16 = 75,463.08 : x
  2. Step 2: Convert to fraction form
    132,062.64/182,227.16 = 75,463.08/x
  3. Step 3: Cross multiply
    132,062.64x = 182,227.16 × 75,463.08
  4. Step 4: Simplify right side
    132,062.64x = 13,751,422,753.25
  5. Step 5: Solve for x
    x = 13,751,422,753.25/132,062.64
  6. Step 6: Final answer
    x = 104,128.03

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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.