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Finding the Fourth Proportional to 158,371.38, 218,469.65 and 97,922.70

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Solution

The fourth proportional to 158,371.38, 218,469.65 and 97,922.70 is: 135,082.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,371.38 : 218,469.65 = 97,922.70 : x
  2. Step 2: Convert to fraction form
    158,371.38/218,469.65 = 97,922.70/x
  3. Step 3: Cross multiply
    158,371.38x = 218,469.65 × 97,922.70
  4. Step 4: Simplify right side
    158,371.38x = 21,393,137,506.44
  5. Step 5: Solve for x
    x = 21,393,137,506.44/158,371.38
  6. Step 6: Final answer
    x = 135,082.09

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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.