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Finding the Fourth Proportional to 193,771.98, 290,601.47 and 75,415.19

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Solution

The fourth proportional to 193,771.98, 290,601.47 and 75,415.19 is: 113,100.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,771.98 : 290,601.47 = 75,415.19 : x
  2. Step 2: Convert to fraction form
    193,771.98/290,601.47 = 75,415.19/x
  3. Step 3: Cross multiply
    193,771.98x = 290,601.47 × 75,415.19
  4. Step 4: Simplify right side
    193,771.98x = 21,915,763,244.25
  5. Step 5: Solve for x
    x = 21,915,763,244.25/193,771.98
  6. Step 6: Final answer
    x = 113,100.79

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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.