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Finding the Fourth Proportional to 182,393.20, 273,460.20 and 82,601.20

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Solution

The fourth proportional to 182,393.20, 273,460.20 and 82,601.20 is: 123,843.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,393.20 : 273,460.20 = 82,601.20 : x
  2. Step 2: Convert to fraction form
    182,393.20/273,460.20 = 82,601.20/x
  3. Step 3: Cross multiply
    182,393.20x = 273,460.20 × 82,601.20
  4. Step 4: Simplify right side
    182,393.20x = 22,588,140,672.24
  5. Step 5: Solve for x
    x = 22,588,140,672.24/182,393.20
  6. Step 6: Final answer
    x = 123,843.11

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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.