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Finding the Fourth Proportional to 193,344.56, 290,122.54 and 75,020.56

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Solution

The fourth proportional to 193,344.56, 290,122.54 and 75,020.56 is: 112,571.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,344.56 : 290,122.54 = 75,020.56 : x
  2. Step 2: Convert to fraction form
    193,344.56/290,122.54 = 75,020.56/x
  3. Step 3: Cross multiply
    193,344.56x = 290,122.54 × 75,020.56
  4. Step 4: Simplify right side
    193,344.56x = 21,765,155,419.42
  5. Step 5: Solve for x
    x = 21,765,155,419.42/193,344.56
  6. Step 6: Final answer
    x = 112,571.85

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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.