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Finding the Fourth Proportional to 177,887.40, 266,982.30 and 72,781.80

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Solution

The fourth proportional to 177,887.40, 266,982.30 and 72,781.80 is: 109,234.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,887.40 : 266,982.30 = 72,781.80 : x
  2. Step 2: Convert to fraction form
    177,887.40/266,982.30 = 72,781.80/x
  3. Step 3: Cross multiply
    177,887.40x = 266,982.30 × 72,781.80
  4. Step 4: Simplify right side
    177,887.40x = 19,431,452,362.14
  5. Step 5: Solve for x
    x = 19,431,452,362.14/177,887.40
  6. Step 6: Final answer
    x = 109,234.56

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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.