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Finding the Fourth Proportional to 226,417, 339,677.34 and 78,673

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Solution

The fourth proportional to 226,417, 339,677.34 and 78,673 is: 118,027.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,417 : 339,677.34 = 78,673 : x
  2. Step 2: Convert to fraction form
    226,417/339,677.34 = 78,673/x
  3. Step 3: Cross multiply
    226,417x = 339,677.34 × 78,673
  4. Step 4: Simplify right side
    226,417x = 26,723,435,369.82
  5. Step 5: Solve for x
    x = 26,723,435,369.82/226,417
  6. Step 6: Final answer
    x = 118,027.51

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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.