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Finding the Fourth Proportional to 226,203.44, 339,069 and 76,392.08

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Solution

The fourth proportional to 226,203.44, 339,069 and 76,392.08 is: 114,508.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,203.44 : 339,069 = 76,392.08 : x
  2. Step 2: Convert to fraction form
    226,203.44/339,069 = 76,392.08/x
  3. Step 3: Cross multiply
    226,203.44x = 339,069 × 76,392.08
  4. Step 4: Simplify right side
    226,203.44x = 25,902,186,173.52
  5. Step 5: Solve for x
    x = 25,902,186,173.52/226,203.44
  6. Step 6: Final answer
    x = 114,508.37

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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.