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Finding the Fourth Proportional to 111,942.41, 167,891.13 and 54,992.52

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Solution

The fourth proportional to 111,942.41, 167,891.13 and 54,992.52 is: 82,477.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,942.41 : 167,891.13 = 54,992.52 : x
  2. Step 2: Convert to fraction form
    111,942.41/167,891.13 = 54,992.52/x
  3. Step 3: Cross multiply
    111,942.41x = 167,891.13 × 54,992.52
  4. Step 4: Simplify right side
    111,942.41x = 9,232,756,324.35
  5. Step 5: Solve for x
    x = 9,232,756,324.35/111,942.41
  6. Step 6: Final answer
    x = 82,477.74

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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.