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Finding the Fourth Proportional to 110,771.80, 166,157.70 and 98,524.60

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Solution

The fourth proportional to 110,771.80, 166,157.70 and 98,524.60 is: 147,786.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,771.80 : 166,157.70 = 98,524.60 : x
  2. Step 2: Convert to fraction form
    110,771.80/166,157.70 = 98,524.60/x
  3. Step 3: Cross multiply
    110,771.80x = 166,157.70 × 98,524.60
  4. Step 4: Simplify right side
    110,771.80x = 16,370,620,929.42
  5. Step 5: Solve for x
    x = 16,370,620,929.42/110,771.80
  6. Step 6: Final answer
    x = 147,786.90

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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.