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Finding the Fourth Proportional to 177,887.80, 266,183.70 and 131,231.80

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Solution

The fourth proportional to 177,887.80, 266,183.70 and 131,231.80 is: 196,369.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,887.80 : 266,183.70 = 131,231.80 : x
  2. Step 2: Convert to fraction form
    177,887.80/266,183.70 = 131,231.80/x
  3. Step 3: Cross multiply
    177,887.80x = 266,183.70 × 131,231.80
  4. Step 4: Simplify right side
    177,887.80x = 34,931,766,081.66
  5. Step 5: Solve for x
    x = 34,931,766,081.66/177,887.80
  6. Step 6: Final answer
    x = 196,369.66

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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.