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Finding the Fourth Proportional to 193,393.68, 290,104.49 and 80,960.82

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Solution

The fourth proportional to 193,393.68, 290,104.49 and 80,960.82 is: 121,447.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,393.68 : 290,104.49 = 80,960.82 : x
  2. Step 2: Convert to fraction form
    193,393.68/290,104.49 = 80,960.82/x
  3. Step 3: Cross multiply
    193,393.68x = 290,104.49 × 80,960.82
  4. Step 4: Simplify right side
    193,393.68x = 23,487,097,396.08
  5. Step 5: Solve for x
    x = 23,487,097,396.08/193,393.68
  6. Step 6: Final answer
    x = 121,447.08

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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.