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Finding the Fourth Proportional to 139,452.22, 192,460.44 and 82,863.64

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Solution

The fourth proportional to 139,452.22, 192,460.44 and 82,863.64 is: 114,361.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,452.22 : 192,460.44 = 82,863.64 : x
  2. Step 2: Convert to fraction form
    139,452.22/192,460.44 = 82,863.64/x
  3. Step 3: Cross multiply
    139,452.22x = 192,460.44 × 82,863.64
  4. Step 4: Simplify right side
    139,452.22x = 15,947,972,614.40
  5. Step 5: Solve for x
    x = 15,947,972,614.40/139,452.22
  6. Step 6: Final answer
    x = 114,361.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.