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Finding the Fourth Proportional to 139,872, 193,025.28 and 80,256

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Solution

The fourth proportional to 139,872, 193,025.28 and 80,256 is: 110,754.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,872 : 193,025.28 = 80,256 : x
  2. Step 2: Convert to fraction form
    139,872/193,025.28 = 80,256/x
  3. Step 3: Cross multiply
    139,872x = 193,025.28 × 80,256
  4. Step 4: Simplify right side
    139,872x = 15,491,436,871.68
  5. Step 5: Solve for x
    x = 15,491,436,871.68/139,872
  6. Step 6: Final answer
    x = 110,754.38

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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.