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Finding the Fourth Proportional to 121,192.78, 181,797.48 and 41,198.20

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Solution

The fourth proportional to 121,192.78, 181,797.48 and 41,198.20 is: 61,800.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,192.78 : 181,797.48 = 41,198.20 : x
  2. Step 2: Convert to fraction form
    121,192.78/181,797.48 = 41,198.20/x
  3. Step 3: Cross multiply
    121,192.78x = 181,797.48 × 41,198.20
  4. Step 4: Simplify right side
    121,192.78x = 7,489,727,825.56
  5. Step 5: Solve for x
    x = 7,489,727,825.56/121,192.78
  6. Step 6: Final answer
    x = 61,800.12

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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.