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Finding the Fourth Proportional to 208,086.68, 311,942.67 and 74,873.27

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Solution

The fourth proportional to 208,086.68, 311,942.67 and 74,873.27 is: 112,242.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,086.68 : 311,942.67 = 74,873.27 : x
  2. Step 2: Convert to fraction form
    208,086.68/311,942.67 = 74,873.27/x
  3. Step 3: Cross multiply
    208,086.68x = 311,942.67 × 74,873.27
  4. Step 4: Simplify right side
    208,086.68x = 23,356,167,755.43
  5. Step 5: Solve for x
    x = 23,356,167,755.43/208,086.68
  6. Step 6: Final answer
    x = 112,242.49

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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.