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Finding the Fourth Proportional to 171,105.13, 256,686.90 and 52,754.41

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Solution

The fourth proportional to 171,105.13, 256,686.90 and 52,754.41 is: 79,140.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,105.13 : 256,686.90 = 52,754.41 : x
  2. Step 2: Convert to fraction form
    171,105.13/256,686.90 = 52,754.41/x
  3. Step 3: Cross multiply
    171,105.13x = 256,686.90 × 52,754.41
  4. Step 4: Simplify right side
    171,105.13x = 13,541,365,964.23
  5. Step 5: Solve for x
    x = 13,541,365,964.23/171,105.13
  6. Step 6: Final answer
    x = 79,140.62

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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.