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Finding the Fourth Proportional to 226,796.44, 339,984.30 and 100,369.48

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Solution

The fourth proportional to 226,796.44, 339,984.30 and 100,369.48 is: 150,461.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,796.44 : 339,984.30 = 100,369.48 : x
  2. Step 2: Convert to fraction form
    226,796.44/339,984.30 = 100,369.48/x
  3. Step 3: Cross multiply
    226,796.44x = 339,984.30 × 100,369.48
  4. Step 4: Simplify right side
    226,796.44x = 34,124,047,399.16
  5. Step 5: Solve for x
    x = 34,124,047,399.16/226,796.44
  6. Step 6: Final answer
    x = 150,461.12

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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.