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Finding the Fourth Proportional to 193,393.82, 289,891.16 and 81,139.22

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Solution

The fourth proportional to 193,393.82, 289,891.16 and 81,139.22 is: 121,625.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,393.82 : 289,891.16 = 81,139.22 : x
  2. Step 2: Convert to fraction form
    193,393.82/289,891.16 = 81,139.22/x
  3. Step 3: Cross multiply
    193,393.82x = 289,891.16 × 81,139.22
  4. Step 4: Simplify right side
    193,393.82x = 23,521,542,607.30
  5. Step 5: Solve for x
    x = 23,521,542,607.30/193,393.82
  6. Step 6: Final answer
    x = 121,625.10

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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.