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Finding the Fourth Proportional to 281,891.57, 422,007.91 and 188,164.85

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Solution

The fourth proportional to 281,891.57, 422,007.91 and 188,164.85 is: 281,693.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,891.57 : 422,007.91 = 188,164.85 : x
  2. Step 2: Convert to fraction form
    281,891.57/422,007.91 = 188,164.85/x
  3. Step 3: Cross multiply
    281,891.57x = 422,007.91 × 188,164.85
  4. Step 4: Simplify right side
    281,891.57x = 79,407,055,083.96
  5. Step 5: Solve for x
    x = 79,407,055,083.96/281,891.57
  6. Step 6: Final answer
    x = 281,693.61

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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.