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Finding the Fourth Proportional to 206,126.52, 309,174.66 and 65,847.48

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Solution

The fourth proportional to 206,126.52, 309,174.66 and 65,847.48 is: 98,766.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,126.52 : 309,174.66 = 65,847.48 : x
  2. Step 2: Convert to fraction form
    206,126.52/309,174.66 = 65,847.48/x
  3. Step 3: Cross multiply
    206,126.52x = 309,174.66 × 65,847.48
  4. Step 4: Simplify right side
    206,126.52x = 20,358,372,240.86
  5. Step 5: Solve for x
    x = 20,358,372,240.86/206,126.52
  6. Step 6: Final answer
    x = 98,766.39

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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.