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Finding the Fourth Proportional to 196,414.44, 271,052.10 and 106,990.44

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Solution

The fourth proportional to 196,414.44, 271,052.10 and 106,990.44 is: 147,646.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,414.44 : 271,052.10 = 106,990.44 : x
  2. Step 2: Convert to fraction form
    196,414.44/271,052.10 = 106,990.44/x
  3. Step 3: Cross multiply
    196,414.44x = 271,052.10 × 106,990.44
  4. Step 4: Simplify right side
    196,414.44x = 28,999,983,441.92
  5. Step 5: Solve for x
    x = 28,999,983,441.92/196,414.44
  6. Step 6: Final answer
    x = 147,646.90

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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.