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Finding the Fourth Proportional to 207,944.82, 311,700.14 and 150,880.86

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Solution

The fourth proportional to 207,944.82, 311,700.14 and 150,880.86 is: 226,163.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,944.82 : 311,700.14 = 150,880.86 : x
  2. Step 2: Convert to fraction form
    207,944.82/311,700.14 = 150,880.86/x
  3. Step 3: Cross multiply
    207,944.82x = 311,700.14 × 150,880.86
  4. Step 4: Simplify right side
    207,944.82x = 47,029,585,185.32
  5. Step 5: Solve for x
    x = 47,029,585,185.32/207,944.82
  6. Step 6: Final answer
    x = 226,163.77

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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.