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Finding the Fourth Proportional to 171,080.56, 256,615.53 and 71,238.24

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Solution

The fourth proportional to 171,080.56, 256,615.53 and 71,238.24 is: 106,855.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,080.56 : 256,615.53 = 71,238.24 : x
  2. Step 2: Convert to fraction form
    171,080.56/256,615.53 = 71,238.24/x
  3. Step 3: Cross multiply
    171,080.56x = 256,615.53 × 71,238.24
  4. Step 4: Simplify right side
    171,080.56x = 18,280,839,355.41
  5. Step 5: Solve for x
    x = 18,280,839,355.41/171,080.56
  6. Step 6: Final answer
    x = 106,855.15

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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.