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Finding the Fourth Proportional to 182,183.50, 251,447.25 and 106,732

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Solution

The fourth proportional to 182,183.50, 251,447.25 and 106,732 is: 147,310.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,183.50 : 251,447.25 = 106,732 : x
  2. Step 2: Convert to fraction form
    182,183.50/251,447.25 = 106,732/x
  3. Step 3: Cross multiply
    182,183.50x = 251,447.25 × 106,732
  4. Step 4: Simplify right side
    182,183.50x = 26,837,467,887
  5. Step 5: Solve for x
    x = 26,837,467,887/182,183.50
  6. Step 6: Final answer
    x = 147,310.09

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