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Finding the Fourth Proportional to 171,291.24, 256,660.38 and 105,489

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Solution

The fourth proportional to 171,291.24, 256,660.38 and 105,489 is: 158,063.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,291.24 : 256,660.38 = 105,489 : x
  2. Step 2: Convert to fraction form
    171,291.24/256,660.38 = 105,489/x
  3. Step 3: Cross multiply
    171,291.24x = 256,660.38 × 105,489
  4. Step 4: Simplify right side
    171,291.24x = 27,074,846,825.82
  5. Step 5: Solve for x
    x = 27,074,846,825.82/171,291.24
  6. Step 6: Final answer
    x = 158,063.23

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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.