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Finding the Fourth Proportional to 193,522.26, 290,301.72 and 75,202.73

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Solution

The fourth proportional to 193,522.26, 290,301.72 and 75,202.73 is: 112,811.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,522.26 : 290,301.72 = 75,202.73 : x
  2. Step 2: Convert to fraction form
    193,522.26/290,301.72 = 75,202.73/x
  3. Step 3: Cross multiply
    193,522.26x = 290,301.72 × 75,202.73
  4. Step 4: Simplify right side
    193,522.26x = 21,831,480,040.17
  5. Step 5: Solve for x
    x = 21,831,480,040.17/193,522.26
  6. Step 6: Final answer
    x = 112,811.21

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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.