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Finding the Fourth Proportional to 311,204.60, 466,806.90 and 100,863.80

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Solution

The fourth proportional to 311,204.60, 466,806.90 and 100,863.80 is: 151,295.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,204.60 : 466,806.90 = 100,863.80 : x
  2. Step 2: Convert to fraction form
    311,204.60/466,806.90 = 100,863.80/x
  3. Step 3: Cross multiply
    311,204.60x = 466,806.90 × 100,863.80
  4. Step 4: Simplify right side
    311,204.60x = 47,083,917,800.22
  5. Step 5: Solve for x
    x = 47,083,917,800.22/311,204.60
  6. Step 6: Final answer
    x = 151,295.70

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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.