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Finding the Fourth Proportional to 182,728.24, 274,121.88 and 56,338.88

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Solution

The fourth proportional to 182,728.24, 274,121.88 and 56,338.88 is: 84,517.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,728.24 : 274,121.88 = 56,338.88 : x
  2. Step 2: Convert to fraction form
    182,728.24/274,121.88 = 56,338.88/x
  3. Step 3: Cross multiply
    182,728.24x = 274,121.88 × 56,338.88
  4. Step 4: Simplify right side
    182,728.24x = 15,443,719,702.69
  5. Step 5: Solve for x
    x = 15,443,719,702.69/182,728.24
  6. Step 6: Final answer
    x = 84,517.42

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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.