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Finding the Fourth Proportional to 193,781.80, 290,672.70 and 137,794.60

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Solution

The fourth proportional to 193,781.80, 290,672.70 and 137,794.60 is: 206,691.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,781.80 : 290,672.70 = 137,794.60 : x
  2. Step 2: Convert to fraction form
    193,781.80/290,672.70 = 137,794.60/x
  3. Step 3: Cross multiply
    193,781.80x = 290,672.70 × 137,794.60
  4. Step 4: Simplify right side
    193,781.80x = 40,053,128,427.42
  5. Step 5: Solve for x
    x = 40,053,128,427.42/193,781.80
  6. Step 6: Final answer
    x = 206,691.90

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1.5x scale

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.