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Finding the Fourth Proportional to 171,144.72, 256,503 and 82,374.48

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Solution

The fourth proportional to 171,144.72, 256,503 and 82,374.48 is: 123,458.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,144.72 : 256,503 = 82,374.48 : x
  2. Step 2: Convert to fraction form
    171,144.72/256,503 = 82,374.48/x
  3. Step 3: Cross multiply
    171,144.72x = 256,503 × 82,374.48
  4. Step 4: Simplify right side
    171,144.72x = 21,129,301,243.44
  5. Step 5: Solve for x
    x = 21,129,301,243.44/171,144.72
  6. Step 6: Final answer
    x = 123,458.68

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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.