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Finding the Fourth Proportional to 207,965.68, 311,945.76 and 50,193.40

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Solution

The fourth proportional to 207,965.68, 311,945.76 and 50,193.40 is: 75,289.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,965.68 : 311,945.76 = 50,193.40 : x
  2. Step 2: Convert to fraction form
    207,965.68/311,945.76 = 50,193.40/x
  3. Step 3: Cross multiply
    207,965.68x = 311,945.76 × 50,193.40
  4. Step 4: Simplify right side
    207,965.68x = 15,657,618,309.98
  5. Step 5: Solve for x
    x = 15,657,618,309.98/207,965.68
  6. Step 6: Final answer
    x = 75,289.43

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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.