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Finding the Fourth Proportional to 253,108.43, 378,729.72 and 151,967.96

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Solution

The fourth proportional to 253,108.43, 378,729.72 and 151,967.96 is: 227,391.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,108.43 : 378,729.72 = 151,967.96 : x
  2. Step 2: Convert to fraction form
    253,108.43/378,729.72 = 151,967.96/x
  3. Step 3: Cross multiply
    253,108.43x = 378,729.72 × 151,967.96
  4. Step 4: Simplify right side
    253,108.43x = 57,554,781,046.12
  5. Step 5: Solve for x
    x = 57,554,781,046.12/253,108.43
  6. Step 6: Final answer
    x = 227,391.80

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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.