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Finding the Fourth Proportional to 226,372.50, 312,656.49 and 150,789.78

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Solution

The fourth proportional to 226,372.50, 312,656.49 and 150,789.78 is: 208,264.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,372.50 : 312,656.49 = 150,789.78 : x
  2. Step 2: Convert to fraction form
    226,372.50/312,656.49 = 150,789.78/x
  3. Step 3: Cross multiply
    226,372.50x = 312,656.49 × 150,789.78
  4. Step 4: Simplify right side
    226,372.50x = 47,145,403,342.67
  5. Step 5: Solve for x
    x = 47,145,403,342.67/226,372.50
  6. Step 6: Final answer
    x = 208,264.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.