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Finding the Fourth Proportional to 206,958.62, 311,820.88 and 186,991.32

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Solution

The fourth proportional to 206,958.62, 311,820.88 and 186,991.32 is: 281,736.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,958.62 : 311,820.88 = 186,991.32 : x
  2. Step 2: Convert to fraction form
    206,958.62/311,820.88 = 186,991.32/x
  3. Step 3: Cross multiply
    206,958.62x = 311,820.88 × 186,991.32
  4. Step 4: Simplify right side
    206,958.62x = 58,307,797,019.81
  5. Step 5: Solve for x
    x = 58,307,797,019.81/206,958.62
  6. Step 6: Final answer
    x = 281,736.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.