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Finding the Fourth Proportional to 226,227, 339,107.20 and 101,655.48

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Solution

The fourth proportional to 226,227, 339,107.20 and 101,655.48 is: 152,378.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,227 : 339,107.20 = 101,655.48 : x
  2. Step 2: Convert to fraction form
    226,227/339,107.20 = 101,655.48/x
  3. Step 3: Cross multiply
    226,227x = 339,107.20 × 101,655.48
  4. Step 4: Simplify right side
    226,227x = 34,472,105,187.46
  5. Step 5: Solve for x
    x = 34,472,105,187.46/226,227
  6. Step 6: Final answer
    x = 152,378.39

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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.