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Finding the Fourth Proportional to 227,198.44, 340,922.13 and 85,141.72

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Solution

The fourth proportional to 227,198.44, 340,922.13 and 85,141.72 is: 127,759.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,198.44 : 340,922.13 = 85,141.72 : x
  2. Step 2: Convert to fraction form
    227,198.44/340,922.13 = 85,141.72/x
  3. Step 3: Cross multiply
    227,198.44x = 340,922.13 × 85,141.72
  4. Step 4: Simplify right side
    227,198.44x = 29,026,696,534.26
  5. Step 5: Solve for x
    x = 29,026,696,534.26/227,198.44
  6. Step 6: Final answer
    x = 127,759.22

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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.