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Finding the Fourth Proportional to 224,777.26, 337,054.35 and 82,616.80

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Solution

The fourth proportional to 224,777.26, 337,054.35 and 82,616.80 is: 123,884.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,777.26 : 337,054.35 = 82,616.80 : x
  2. Step 2: Convert to fraction form
    224,777.26/337,054.35 = 82,616.80/x
  3. Step 3: Cross multiply
    224,777.26x = 337,054.35 × 82,616.80
  4. Step 4: Simplify right side
    224,777.26x = 27,846,351,823.08
  5. Step 5: Solve for x
    x = 27,846,351,823.08/224,777.26
  6. Step 6: Final answer
    x = 123,884.20

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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.