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Finding the Fourth Proportional to 165,799.20, 248,698.80 and 54,991.20

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Solution

The fourth proportional to 165,799.20, 248,698.80 and 54,991.20 is: 82,486.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,799.20 : 248,698.80 = 54,991.20 : x
  2. Step 2: Convert to fraction form
    165,799.20/248,698.80 = 54,991.20/x
  3. Step 3: Cross multiply
    165,799.20x = 248,698.80 × 54,991.20
  4. Step 4: Simplify right side
    165,799.20x = 13,676,245,450.56
  5. Step 5: Solve for x
    x = 13,676,245,450.56/165,799.20
  6. Step 6: Final answer
    x = 82,486.80

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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.