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Finding the Fourth Proportional to 177,586.80, 266,380.20 and 111,231.60

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Solution

The fourth proportional to 177,586.80, 266,380.20 and 111,231.60 is: 166,847.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,586.80 : 266,380.20 = 111,231.60 : x
  2. Step 2: Convert to fraction form
    177,586.80/266,380.20 = 111,231.60/x
  3. Step 3: Cross multiply
    177,586.80x = 266,380.20 × 111,231.60
  4. Step 4: Simplify right side
    177,586.80x = 29,629,895,854.32
  5. Step 5: Solve for x
    x = 29,629,895,854.32/177,586.80
  6. Step 6: Final answer
    x = 166,847.40

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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.