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Finding the Fourth Proportional to 193,351.38, 290,015.41 and 114,964.44

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Solution

The fourth proportional to 193,351.38, 290,015.41 and 114,964.44 is: 172,439.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,351.38 : 290,015.41 = 114,964.44 : x
  2. Step 2: Convert to fraction form
    193,351.38/290,015.41 = 114,964.44/x
  3. Step 3: Cross multiply
    193,351.38x = 290,015.41 × 114,964.44
  4. Step 4: Simplify right side
    193,351.38x = 33,341,459,202.02
  5. Step 5: Solve for x
    x = 33,341,459,202.02/193,351.38
  6. Step 6: Final answer
    x = 172,439.73

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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.