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Finding the Fourth Proportional to 231,712.56, 319,857.12 and 196,087.68

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Solution

The fourth proportional to 231,712.56, 319,857.12 and 196,087.68 is: 270,680.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,712.56 : 319,857.12 = 196,087.68 : x
  2. Step 2: Convert to fraction form
    231,712.56/319,857.12 = 196,087.68/x
  3. Step 3: Cross multiply
    231,712.56x = 319,857.12 × 196,087.68
  4. Step 4: Simplify right side
    231,712.56x = 62,720,040,592.28
  5. Step 5: Solve for x
    x = 62,720,040,592.28/231,712.56
  6. Step 6: Final answer
    x = 270,680.37

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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.