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Finding the Fourth Proportional to 194,093.44, 267,838.68 and 109,216

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Solution

The fourth proportional to 194,093.44, 267,838.68 and 109,216 is: 150,712.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,093.44 : 267,838.68 = 109,216 : x
  2. Step 2: Convert to fraction form
    194,093.44/267,838.68 = 109,216/x
  3. Step 3: Cross multiply
    194,093.44x = 267,838.68 × 109,216
  4. Step 4: Simplify right side
    194,093.44x = 29,252,269,274.88
  5. Step 5: Solve for x
    x = 29,252,269,274.88/194,093.44
  6. Step 6: Final answer
    x = 150,712.30

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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.