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Finding the Fourth Proportional to 203,735.70, 281,122.38 and 117,681

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Solution

The fourth proportional to 203,735.70, 281,122.38 and 117,681 is: 162,380.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,735.70 : 281,122.38 = 117,681 : x
  2. Step 2: Convert to fraction form
    203,735.70/281,122.38 = 117,681/x
  3. Step 3: Cross multiply
    203,735.70x = 281,122.38 × 117,681
  4. Step 4: Simplify right side
    203,735.70x = 33,082,762,800.78
  5. Step 5: Solve for x
    x = 33,082,762,800.78/203,735.70
  6. Step 6: Final answer
    x = 162,380.78

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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.