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Finding the Fourth Proportional to 208,086.54, 311,942.44 and 74,873.11

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Solution

The fourth proportional to 208,086.54, 311,942.44 and 74,873.11 is: 112,242.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,086.54 : 311,942.44 = 74,873.11 : x
  2. Step 2: Convert to fraction form
    208,086.54/311,942.44 = 74,873.11/x
  3. Step 3: Cross multiply
    208,086.54x = 311,942.44 × 74,873.11
  4. Step 4: Simplify right side
    208,086.54x = 23,356,100,522.42
  5. Step 5: Solve for x
    x = 23,356,100,522.42/208,086.54
  6. Step 6: Final answer
    x = 112,242.25

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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.