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Finding the Fourth Proportional to 196,189.88, 270,732.74 and 108,980.61

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Solution

The fourth proportional to 196,189.88, 270,732.74 and 108,980.61 is: 150,388.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,189.88 : 270,732.74 = 108,980.61 : x
  2. Step 2: Convert to fraction form
    196,189.88/270,732.74 = 108,980.61/x
  3. Step 3: Cross multiply
    196,189.88x = 270,732.74 × 108,980.61
  4. Step 4: Simplify right side
    196,189.88x = 29,504,618,607.27
  5. Step 5: Solve for x
    x = 29,504,618,607.27/196,189.88
  6. Step 6: Final answer
    x = 150,388.08

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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.