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Finding the Fourth Proportional to 206,397.86, 309,625.47 and 73,246.48

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Solution

The fourth proportional to 206,397.86, 309,625.47 and 73,246.48 is: 109,879.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,397.86 : 309,625.47 = 73,246.48 : x
  2. Step 2: Convert to fraction form
    206,397.86/309,625.47 = 73,246.48/x
  3. Step 3: Cross multiply
    206,397.86x = 309,625.47 × 73,246.48
  4. Step 4: Simplify right side
    206,397.86x = 22,678,975,021.78
  5. Step 5: Solve for x
    x = 22,678,975,021.78/206,397.86
  6. Step 6: Final answer
    x = 109,879.90

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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.