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Finding the Fourth Proportional to 206,540.48, 309,804.24 and 58,796.48

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Solution

The fourth proportional to 206,540.48, 309,804.24 and 58,796.48 is: 88,192.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,540.48 : 309,804.24 = 58,796.48 : x
  2. Step 2: Convert to fraction form
    206,540.48/309,804.24 = 58,796.48/x
  3. Step 3: Cross multiply
    206,540.48x = 309,804.24 × 58,796.48
  4. Step 4: Simplify right side
    206,540.48x = 18,215,398,801.08
  5. Step 5: Solve for x
    x = 18,215,398,801.08/206,540.48
  6. Step 6: Final answer
    x = 88,192.88

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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.