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Finding the Fourth Proportional to 207,954.81, 311,932.22 and 50,183.28

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Solution

The fourth proportional to 207,954.81, 311,932.22 and 50,183.28 is: 75,274.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,954.81 : 311,932.22 = 50,183.28 : x
  2. Step 2: Convert to fraction form
    207,954.81/311,932.22 = 50,183.28/x
  3. Step 3: Cross multiply
    207,954.81x = 311,932.22 × 50,183.28
  4. Step 4: Simplify right side
    207,954.81x = 15,653,781,686.37
  5. Step 5: Solve for x
    x = 15,653,781,686.37/207,954.81
  6. Step 6: Final answer
    x = 75,274.92

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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.