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Finding the Fourth Proportional to 227,009.80, 339,900.30 and 177,857.80

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Solution

The fourth proportional to 227,009.80, 339,900.30 and 177,857.80 is: 266,305.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,009.80 : 339,900.30 = 177,857.80 : x
  2. Step 2: Convert to fraction form
    227,009.80/339,900.30 = 177,857.80/x
  3. Step 3: Cross multiply
    227,009.80x = 339,900.30 × 177,857.80
  4. Step 4: Simplify right side
    227,009.80x = 60,453,919,577.34
  5. Step 5: Solve for x
    x = 60,453,919,577.34/227,009.80
  6. Step 6: Final answer
    x = 266,305.33

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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.