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Finding the Fourth Proportional to 237,205.96, 327,290.70 and 141,694

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Solution

The fourth proportional to 237,205.96, 327,290.70 and 141,694 is: 195,505.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,205.96 : 327,290.70 = 141,694 : x
  2. Step 2: Convert to fraction form
    237,205.96/327,290.70 = 141,694/x
  3. Step 3: Cross multiply
    237,205.96x = 327,290.70 × 141,694
  4. Step 4: Simplify right side
    237,205.96x = 46,375,128,445.80
  5. Step 5: Solve for x
    x = 46,375,128,445.80/237,205.96
  6. Step 6: Final answer
    x = 195,505.75

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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.