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Finding the Fourth Proportional to 129,452.70, 194,189.56 and 35,958.44

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Solution

The fourth proportional to 129,452.70, 194,189.56 and 35,958.44 is: 53,940.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,452.70 : 194,189.56 = 35,958.44 : x
  2. Step 2: Convert to fraction form
    129,452.70/194,189.56 = 35,958.44/x
  3. Step 3: Cross multiply
    129,452.70x = 194,189.56 × 35,958.44
  4. Step 4: Simplify right side
    129,452.70x = 6,982,753,641.89
  5. Step 5: Solve for x
    x = 6,982,753,641.89/129,452.70
  6. Step 6: Final answer
    x = 53,940.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.