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Finding the Fourth Proportional to 207,546.94, 311,446.41 and 82,877.50

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Solution

The fourth proportional to 207,546.94, 311,446.41 and 82,877.50 is: 124,366.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,546.94 : 311,446.41 = 82,877.50 : x
  2. Step 2: Convert to fraction form
    207,546.94/311,446.41 = 82,877.50/x
  3. Step 3: Cross multiply
    207,546.94x = 311,446.41 × 82,877.50
  4. Step 4: Simplify right side
    207,546.94x = 25,811,899,844.78
  5. Step 5: Solve for x
    x = 25,811,899,844.78/207,546.94
  6. Step 6: Final answer
    x = 124,366.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.