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Finding the Fourth Proportional to 177,843.80, 266,765.70 and 149,850.20

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Solution

The fourth proportional to 177,843.80, 266,765.70 and 149,850.20 is: 224,775.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,843.80 : 266,765.70 = 149,850.20 : x
  2. Step 2: Convert to fraction form
    177,843.80/266,765.70 = 149,850.20/x
  3. Step 3: Cross multiply
    177,843.80x = 266,765.70 × 149,850.20
  4. Step 4: Simplify right side
    177,843.80x = 39,974,893,498.14
  5. Step 5: Solve for x
    x = 39,974,893,498.14/177,843.80
  6. Step 6: Final answer
    x = 224,775.30

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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.