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Finding the Fourth Proportional to 311,099.29, 466,716.97 and 100,758.49

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Solution

The fourth proportional to 311,099.29, 466,716.97 and 100,758.49 is: 151,159.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,099.29 : 466,716.97 = 100,758.49 : x
  2. Step 2: Convert to fraction form
    311,099.29/466,716.97 = 100,758.49/x
  3. Step 3: Cross multiply
    311,099.29x = 466,716.97 × 100,758.49
  4. Step 4: Simplify right side
    311,099.29x = 47,025,694,820.99
  5. Step 5: Solve for x
    x = 47,025,694,820.99/311,099.29
  6. Step 6: Final answer
    x = 151,159.77

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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.