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Finding the Fourth Proportional to 165,992.82, 248,990.94 and 47,663.88

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Solution

The fourth proportional to 165,992.82, 248,990.94 and 47,663.88 is: 71,496.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,992.82 : 248,990.94 = 47,663.88 : x
  2. Step 2: Convert to fraction form
    165,992.82/248,990.94 = 47,663.88/x
  3. Step 3: Cross multiply
    165,992.82x = 248,990.94 × 47,663.88
  4. Step 4: Simplify right side
    165,992.82x = 11,867,874,285.25
  5. Step 5: Solve for x
    x = 11,867,874,285.25/165,992.82
  6. Step 6: Final answer
    x = 71,496.31

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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.