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Finding the Fourth Proportional to 165,737.44, 248,608.68 and 41,078.56

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Solution

The fourth proportional to 165,737.44, 248,608.68 and 41,078.56 is: 61,618.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,737.44 : 248,608.68 = 41,078.56 : x
  2. Step 2: Convert to fraction form
    165,737.44/248,608.68 = 41,078.56/x
  3. Step 3: Cross multiply
    165,737.44x = 248,608.68 × 41,078.56
  4. Step 4: Simplify right side
    165,737.44x = 10,212,486,577.90
  5. Step 5: Solve for x
    x = 10,212,486,577.90/165,737.44
  6. Step 6: Final answer
    x = 61,618.46

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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.