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Finding the Fourth Proportional to 209,024.52, 313,469.90 and 68,749.96

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Solution

The fourth proportional to 209,024.52, 313,469.90 and 68,749.96 is: 103,102.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,024.52 : 313,469.90 = 68,749.96 : x
  2. Step 2: Convert to fraction form
    209,024.52/313,469.90 = 68,749.96/x
  3. Step 3: Cross multiply
    209,024.52x = 313,469.90 × 68,749.96
  4. Step 4: Simplify right side
    209,024.52x = 21,551,043,086.20
  5. Step 5: Solve for x
    x = 21,551,043,086.20/209,024.52
  6. Step 6: Final answer
    x = 103,102.94

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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.