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Finding the Fourth Proportional to 226,136.38, 338,996.34 and 97,972.11

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Solution

The fourth proportional to 226,136.38, 338,996.34 and 97,972.11 is: 146,867.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,136.38 : 338,996.34 = 97,972.11 : x
  2. Step 2: Convert to fraction form
    226,136.38/338,996.34 = 97,972.11/x
  3. Step 3: Cross multiply
    226,136.38x = 338,996.34 × 97,972.11
  4. Step 4: Simplify right side
    226,136.38x = 33,212,185,758.65
  5. Step 5: Solve for x
    x = 33,212,185,758.65/226,136.38
  6. Step 6: Final answer
    x = 146,867.95

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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.