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Finding the Fourth Proportional to 188,174.97, 282,188.85 and 68,203.44

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Solution

The fourth proportional to 188,174.97, 282,188.85 and 68,203.44 is: 102,278.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,174.97 : 282,188.85 = 68,203.44 : x
  2. Step 2: Convert to fraction form
    188,174.97/282,188.85 = 68,203.44/x
  3. Step 3: Cross multiply
    188,174.97x = 282,188.85 × 68,203.44
  4. Step 4: Simplify right side
    188,174.97x = 19,246,250,043.88
  5. Step 5: Solve for x
    x = 19,246,250,043.88/188,174.97
  6. Step 6: Final answer
    x = 102,278.48

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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.