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Finding the Fourth Proportional to 341,722.20, 512,729.10 and 164,137.80

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Solution

The fourth proportional to 341,722.20, 512,729.10 and 164,137.80 is: 246,276.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,722.20 : 512,729.10 = 164,137.80 : x
  2. Step 2: Convert to fraction form
    341,722.20/512,729.10 = 164,137.80/x
  3. Step 3: Cross multiply
    341,722.20x = 512,729.10 × 164,137.80
  4. Step 4: Simplify right side
    341,722.20x = 84,158,226,469.98
  5. Step 5: Solve for x
    x = 84,158,226,469.98/341,722.20
  6. Step 6: Final answer
    x = 246,276.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.