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Finding the Fourth Proportional to 208,854.42, 313,024.26 and 82,367.43

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Solution

The fourth proportional to 208,854.42, 313,024.26 and 82,367.43 is: 123,449.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,854.42 : 313,024.26 = 82,367.43 : x
  2. Step 2: Convert to fraction form
    208,854.42/313,024.26 = 82,367.43/x
  3. Step 3: Cross multiply
    208,854.42x = 313,024.26 × 82,367.43
  4. Step 4: Simplify right side
    208,854.42x = 25,783,003,823.85
  5. Step 5: Solve for x
    x = 25,783,003,823.85/208,854.42
  6. Step 6: Final answer
    x = 123,449.64

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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.