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Finding the Fourth Proportional to 165,993.82, 248,992.44 and 47,664.88

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Solution

The fourth proportional to 165,993.82, 248,992.44 and 47,664.88 is: 71,497.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,993.82 : 248,992.44 = 47,664.88 : x
  2. Step 2: Convert to fraction form
    165,993.82/248,992.44 = 47,664.88/x
  3. Step 3: Cross multiply
    165,993.82x = 248,992.44 × 47,664.88
  4. Step 4: Simplify right side
    165,993.82x = 11,868,194,773.51
  5. Step 5: Solve for x
    x = 11,868,194,773.51/165,993.82
  6. Step 6: Final answer
    x = 71,497.81

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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.