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Finding the Fourth Proportional to 196,296.66, 270,882.57 and 119,943.57

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Solution

The fourth proportional to 196,296.66, 270,882.57 and 119,943.57 is: 165,517.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,296.66 : 270,882.57 = 119,943.57 : x
  2. Step 2: Convert to fraction form
    196,296.66/270,882.57 = 119,943.57/x
  3. Step 3: Cross multiply
    196,296.66x = 270,882.57 × 119,943.57
  4. Step 4: Simplify right side
    196,296.66x = 32,490,622,496.57
  5. Step 5: Solve for x
    x = 32,490,622,496.57/196,296.66
  6. Step 6: Final answer
    x = 165,517.96

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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.