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Finding the Fourth Proportional to 142,082.39, 196,073.69 and 96,839.41

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Solution

The fourth proportional to 142,082.39, 196,073.69 and 96,839.41 is: 133,638.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,082.39 : 196,073.69 = 96,839.41 : x
  2. Step 2: Convert to fraction form
    142,082.39/196,073.69 = 96,839.41/x
  3. Step 3: Cross multiply
    142,082.39x = 196,073.69 × 96,839.41
  4. Step 4: Simplify right side
    142,082.39x = 18,987,660,208.04
  5. Step 5: Solve for x
    x = 18,987,660,208.04/142,082.39
  6. Step 6: Final answer
    x = 133,638.38

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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.