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Finding the Fourth Proportional to 171,428.28, 257,183.48 and 71,532.91

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Solution

The fourth proportional to 171,428.28, 257,183.48 and 71,532.91 is: 107,316.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,428.28 : 257,183.48 = 71,532.91 : x
  2. Step 2: Convert to fraction form
    171,428.28/257,183.48 = 71,532.91/x
  3. Step 3: Cross multiply
    171,428.28x = 257,183.48 × 71,532.91
  4. Step 4: Simplify right side
    171,428.28x = 18,397,082,728.33
  5. Step 5: Solve for x
    x = 18,397,082,728.33/171,428.28
  6. Step 6: Final answer
    x = 107,316.50

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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.