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Finding the Fourth Proportional to 311,097.29, 466,713.97 and 100,756.49

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Solution

The fourth proportional to 311,097.29, 466,713.97 and 100,756.49 is: 151,156.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,097.29 : 466,713.97 = 100,756.49 : x
  2. Step 2: Convert to fraction form
    311,097.29/466,713.97 = 100,756.49/x
  3. Step 3: Cross multiply
    311,097.29x = 466,713.97 × 100,756.49
  4. Step 4: Simplify right side
    311,097.29x = 47,024,458,865.70
  5. Step 5: Solve for x
    x = 47,024,458,865.70/311,097.29
  6. Step 6: Final answer
    x = 151,156.76

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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.