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Finding the Fourth Proportional to 266,098, 367,215.24 and 181,363.09

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Solution

The fourth proportional to 266,098, 367,215.24 and 181,363.09 is: 250,281.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,098 : 367,215.24 = 181,363.09 : x
  2. Step 2: Convert to fraction form
    266,098/367,215.24 = 181,363.09/x
  3. Step 3: Cross multiply
    266,098x = 367,215.24 × 181,363.09
  4. Step 4: Simplify right side
    266,098x = 66,599,290,621.49
  5. Step 5: Solve for x
    x = 66,599,290,621.49/266,098
  6. Step 6: Final answer
    x = 250,281.06

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Why These Related Problems?

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