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Finding the Fourth Proportional to 171,227.52, 256,948.20 and 123,201

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Solution

The fourth proportional to 171,227.52, 256,948.20 and 123,201 is: 184,878.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,227.52 : 256,948.20 = 123,201 : x
  2. Step 2: Convert to fraction form
    171,227.52/256,948.20 = 123,201/x
  3. Step 3: Cross multiply
    171,227.52x = 256,948.20 × 123,201
  4. Step 4: Simplify right side
    171,227.52x = 31,656,275,188.20
  5. Step 5: Solve for x
    x = 31,656,275,188.20/171,227.52
  6. Step 6: Final answer
    x = 184,878.43

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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.