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Finding the Fourth Proportional to 83,198.86, 114,814.26 and 47,388.88

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Solution

The fourth proportional to 83,198.86, 114,814.26 and 47,388.88 is: 65,396.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,198.86 : 114,814.26 = 47,388.88 : x
  2. Step 2: Convert to fraction form
    83,198.86/114,814.26 = 47,388.88/x
  3. Step 3: Cross multiply
    83,198.86x = 114,814.26 × 47,388.88
  4. Step 4: Simplify right side
    83,198.86x = 5,440,919,189.43
  5. Step 5: Solve for x
    x = 5,440,919,189.43/83,198.86
  6. Step 6: Final answer
    x = 65,396.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.