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Finding the Fourth Proportional to 204,331.19, 281,978.43 and 113,690.97

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Solution

The fourth proportional to 204,331.19, 281,978.43 and 113,690.97 is: 156,894.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,331.19 : 281,978.43 = 113,690.97 : x
  2. Step 2: Convert to fraction form
    204,331.19/281,978.43 = 113,690.97/x
  3. Step 3: Cross multiply
    204,331.19x = 281,978.43 × 113,690.97
  4. Step 4: Simplify right side
    204,331.19x = 32,058,401,225.78
  5. Step 5: Solve for x
    x = 32,058,401,225.78/204,331.19
  6. Step 6: Final answer
    x = 156,894.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.