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Finding the Fourth Proportional to 266,097, 367,213.86 and 181,362.09

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Solution

The fourth proportional to 266,097, 367,213.86 and 181,362.09 is: 250,279.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,097 : 367,213.86 = 181,362.09 : x
  2. Step 2: Convert to fraction form
    266,097/367,213.86 = 181,362.09/x
  3. Step 3: Cross multiply
    266,097x = 367,213.86 × 181,362.09
  4. Step 4: Simplify right side
    266,097x = 66,598,673,126.57
  5. Step 5: Solve for x
    x = 66,598,673,126.57/266,097
  6. Step 6: Final answer
    x = 250,279.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.