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Finding the Fourth Proportional to 253,004.21, 379,499.77 and 82,224.96

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Solution

The fourth proportional to 253,004.21, 379,499.77 and 82,224.96 is: 123,335.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,004.21 : 379,499.77 = 82,224.96 : x
  2. Step 2: Convert to fraction form
    253,004.21/379,499.77 = 82,224.96/x
  3. Step 3: Cross multiply
    253,004.21x = 379,499.77 × 82,224.96
  4. Step 4: Simplify right side
    253,004.21x = 31,204,355,034.23
  5. Step 5: Solve for x
    x = 31,204,355,034.23/253,004.21
  6. Step 6: Final answer
    x = 123,335.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.