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Finding the Fourth Proportional to 264,800.20, 396,941.10 and 106,817.80

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Solution

The fourth proportional to 264,800.20, 396,941.10 and 106,817.80 is: 160,122.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,800.20 : 396,941.10 = 106,817.80 : x
  2. Step 2: Convert to fraction form
    264,800.20/396,941.10 = 106,817.80/x
  3. Step 3: Cross multiply
    264,800.20x = 396,941.10 × 106,817.80
  4. Step 4: Simplify right side
    264,800.20x = 42,400,375,031.58
  5. Step 5: Solve for x
    x = 42,400,375,031.58/264,800.20
  6. Step 6: Final answer
    x = 160,122.14

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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.