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Finding the Fourth Proportional to 196,604.50, 271,314.22 and 107,180.50

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Solution

The fourth proportional to 196,604.50, 271,314.22 and 107,180.50 is: 147,909.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,604.50 : 271,314.22 = 107,180.50 : x
  2. Step 2: Convert to fraction form
    196,604.50/271,314.22 = 107,180.50/x
  3. Step 3: Cross multiply
    196,604.50x = 271,314.22 × 107,180.50
  4. Step 4: Simplify right side
    196,604.50x = 29,079,593,756.71
  5. Step 5: Solve for x
    x = 29,079,593,756.71/196,604.50
  6. Step 6: Final answer
    x = 147,909.10

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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.