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Finding the Fourth Proportional to 193,850.51, 290,656.67 and 75,383.73

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Solution

The fourth proportional to 193,850.51, 290,656.67 and 75,383.73 is: 113,029.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,850.51 : 290,656.67 = 75,383.73 : x
  2. Step 2: Convert to fraction form
    193,850.51/290,656.67 = 75,383.73/x
  3. Step 3: Cross multiply
    193,850.51x = 290,656.67 × 75,383.73
  4. Step 4: Simplify right side
    193,850.51x = 21,910,783,557.06
  5. Step 5: Solve for x
    x = 21,910,783,557.06/193,850.51
  6. Step 6: Final answer
    x = 113,029.28

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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.