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Finding the Fourth Proportional to 281,578.82, 422,614.26 and 163,087.16

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Solution

The fourth proportional to 281,578.82, 422,614.26 and 163,087.16 is: 244,773.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,578.82 : 422,614.26 = 163,087.16 : x
  2. Step 2: Convert to fraction form
    281,578.82/422,614.26 = 163,087.16/x
  3. Step 3: Cross multiply
    281,578.82x = 422,614.26 × 163,087.16
  4. Step 4: Simplify right side
    281,578.82x = 68,922,957,325.83
  5. Step 5: Solve for x
    x = 68,922,957,325.83/281,578.82
  6. Step 6: Final answer
    x = 244,773.23

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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.