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Finding the Fourth Proportional to 171,169.34, 256,753.80 and 65,914.49

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Solution

The fourth proportional to 171,169.34, 256,753.80 and 65,914.49 is: 98,871.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,169.34 : 256,753.80 = 65,914.49 : x
  2. Step 2: Convert to fraction form
    171,169.34/256,753.80 = 65,914.49/x
  3. Step 3: Cross multiply
    171,169.34x = 256,753.80 × 65,914.49
  4. Step 4: Simplify right side
    171,169.34x = 16,923,796,424.45
  5. Step 5: Solve for x
    x = 16,923,796,424.45/171,169.34
  6. Step 6: Final answer
    x = 98,871.66

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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.