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Finding the Fourth Proportional to 171,057.76, 256,633.62 and 71,264.68

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Solution

The fourth proportional to 171,057.76, 256,633.62 and 71,264.68 is: 106,916.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,057.76 : 256,633.62 = 71,264.68 : x
  2. Step 2: Convert to fraction form
    171,057.76/256,633.62 = 71,264.68/x
  3. Step 3: Cross multiply
    171,057.76x = 256,633.62 × 71,264.68
  4. Step 4: Simplify right side
    171,057.76x = 18,288,912,806.54
  5. Step 5: Solve for x
    x = 18,288,912,806.54/171,057.76
  6. Step 6: Final answer
    x = 106,916.59

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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.