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Finding the Fourth Proportional to 150,760, 226,243.68 and 52,264

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Solution

The fourth proportional to 150,760, 226,243.68 and 52,264 is: 78,431.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,760 : 226,243.68 = 52,264 : x
  2. Step 2: Convert to fraction form
    150,760/226,243.68 = 52,264/x
  3. Step 3: Cross multiply
    150,760x = 226,243.68 × 52,264
  4. Step 4: Simplify right side
    150,760x = 11,824,399,691.52
  5. Step 5: Solve for x
    x = 11,824,399,691.52/150,760
  6. Step 6: Final answer
    x = 78,431.94

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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.