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Finding the Fourth Proportional to 231,504, 347,255.16 and 73,745.16

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Solution

The fourth proportional to 231,504, 347,255.16 and 73,745.16 is: 110,617.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,504 : 347,255.16 = 73,745.16 : x
  2. Step 2: Convert to fraction form
    231,504/347,255.16 = 73,745.16/x
  3. Step 3: Cross multiply
    231,504x = 347,255.16 × 73,745.16
  4. Step 4: Simplify right side
    231,504x = 25,608,387,335.03
  5. Step 5: Solve for x
    x = 25,608,387,335.03/231,504
  6. Step 6: Final answer
    x = 110,617.47

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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.