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Finding the Fourth Proportional to 206,736.48, 310,098.24 and 58,992.48

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Solution

The fourth proportional to 206,736.48, 310,098.24 and 58,992.48 is: 88,486.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,736.48 : 310,098.24 = 58,992.48 : x
  2. Step 2: Convert to fraction form
    206,736.48/310,098.24 = 58,992.48/x
  3. Step 3: Cross multiply
    206,736.48x = 310,098.24 × 58,992.48
  4. Step 4: Simplify right side
    206,736.48x = 18,293,464,221.24
  5. Step 5: Solve for x
    x = 18,293,464,221.24/206,736.48
  6. Step 6: Final answer
    x = 88,486.87

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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.