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Finding the Fourth Proportional to 237,561, 327,839.46 and 135,584.42

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Solution

The fourth proportional to 237,561, 327,839.46 and 135,584.42 is: 187,109.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,561 : 327,839.46 = 135,584.42 : x
  2. Step 2: Convert to fraction form
    237,561/327,839.46 = 135,584.42/x
  3. Step 3: Cross multiply
    237,561x = 327,839.46 × 135,584.42
  4. Step 4: Simplify right side
    237,561x = 44,449,923,037.21
  5. Step 5: Solve for x
    x = 44,449,923,037.21/237,561
  6. Step 6: Final answer
    x = 187,109.51

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1.5x scale

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.