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Finding the Fourth Proportional to 165,817.60, 248,764.56 and 47,489.92

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Solution

The fourth proportional to 165,817.60, 248,764.56 and 47,489.92 is: 71,245.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,817.60 : 248,764.56 = 47,489.92 : x
  2. Step 2: Convert to fraction form
    165,817.60/248,764.56 = 47,489.92/x
  3. Step 3: Cross multiply
    165,817.60x = 248,764.56 × 47,489.92
  4. Step 4: Simplify right side
    165,817.60x = 11,813,809,053.24
  5. Step 5: Solve for x
    x = 11,813,809,053.24/165,817.60
  6. Step 6: Final answer
    x = 71,245.81

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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.