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Finding the Fourth Proportional to 165,845, 248,806.38 and 55,037

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Solution

The fourth proportional to 165,845, 248,806.38 and 55,037 is: 82,568.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,845 : 248,806.38 = 55,037 : x
  2. Step 2: Convert to fraction form
    165,845/248,806.38 = 55,037/x
  3. Step 3: Cross multiply
    165,845x = 248,806.38 × 55,037
  4. Step 4: Simplify right side
    165,845x = 13,693,556,736.06
  5. Step 5: Solve for x
    x = 13,693,556,736.06/165,845
  6. Step 6: Final answer
    x = 82,568.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.