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Finding the Fourth Proportional to 110,873.80, 166,310.70 and 40,738.60

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Solution

The fourth proportional to 110,873.80, 166,310.70 and 40,738.60 is: 61,107.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,873.80 : 166,310.70 = 40,738.60 : x
  2. Step 2: Convert to fraction form
    110,873.80/166,310.70 = 40,738.60/x
  3. Step 3: Cross multiply
    110,873.80x = 166,310.70 × 40,738.60
  4. Step 4: Simplify right side
    110,873.80x = 6,775,265,083.02
  5. Step 5: Solve for x
    x = 6,775,265,083.02/110,873.80
  6. Step 6: Final answer
    x = 61,107.90

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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.