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Finding the Fourth Proportional to 196,694.80, 295,138.20 and 91,459.60

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Solution

The fourth proportional to 196,694.80, 295,138.20 and 91,459.60 is: 137,234.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,694.80 : 295,138.20 = 91,459.60 : x
  2. Step 2: Convert to fraction form
    196,694.80/295,138.20 = 91,459.60/x
  3. Step 3: Cross multiply
    196,694.80x = 295,138.20 × 91,459.60
  4. Step 4: Simplify right side
    196,694.80x = 26,993,221,716.72
  5. Step 5: Solve for x
    x = 26,993,221,716.72/196,694.80
  6. Step 6: Final answer
    x = 137,234.04

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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.