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Finding the Fourth Proportional to 206,496.36, 309,707.60 and 54,694.48

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Solution

The fourth proportional to 206,496.36, 309,707.60 and 54,694.48 is: 82,031.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,496.36 : 309,707.60 = 54,694.48 : x
  2. Step 2: Convert to fraction form
    206,496.36/309,707.60 = 54,694.48/x
  3. Step 3: Cross multiply
    206,496.36x = 309,707.60 × 54,694.48
  4. Step 4: Simplify right side
    206,496.36x = 16,939,296,134.05
  5. Step 5: Solve for x
    x = 16,939,296,134.05/206,496.36
  6. Step 6: Final answer
    x = 82,031.94

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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.