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Finding the Fourth Proportional to 311,204.10, 466,806.15 and 100,863.30

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Solution

The fourth proportional to 311,204.10, 466,806.15 and 100,863.30 is: 151,294.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,204.10 : 466,806.15 = 100,863.30 : x
  2. Step 2: Convert to fraction form
    311,204.10/466,806.15 = 100,863.30/x
  3. Step 3: Cross multiply
    311,204.10x = 466,806.15 × 100,863.30
  4. Step 4: Simplify right side
    311,204.10x = 47,083,608,749.30
  5. Step 5: Solve for x
    x = 47,083,608,749.30/311,204.10
  6. Step 6: Final answer
    x = 151,294.95

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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.