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Finding the Fourth Proportional to 165,846.80, 248,770.02 and 41,187.80

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Solution

The fourth proportional to 165,846.80, 248,770.02 and 41,187.80 is: 61,781.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,846.80 : 248,770.02 = 41,187.80 : x
  2. Step 2: Convert to fraction form
    165,846.80/248,770.02 = 41,187.80/x
  3. Step 3: Cross multiply
    165,846.80x = 248,770.02 × 41,187.80
  4. Step 4: Simplify right side
    165,846.80x = 10,246,289,829.76
  5. Step 5: Solve for x
    x = 10,246,289,829.76/165,846.80
  6. Step 6: Final answer
    x = 61,781.66

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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.