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Finding the Fourth Proportional to 132,040.88, 182,213 and 75,452.26

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Solution

The fourth proportional to 132,040.88, 182,213 and 75,452.26 is: 104,122.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,040.88 : 182,213 = 75,452.26 : x
  2. Step 2: Convert to fraction form
    132,040.88/182,213 = 75,452.26/x
  3. Step 3: Cross multiply
    132,040.88x = 182,213 × 75,452.26
  4. Step 4: Simplify right side
    132,040.88x = 13,748,382,651.38
  5. Step 5: Solve for x
    x = 13,748,382,651.38/132,040.88
  6. Step 6: Final answer
    x = 104,122.17

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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.