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Finding the Fourth Proportional to 182,597.20, 274,356.60 and 116,069.20

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Solution

The fourth proportional to 182,597.20, 274,356.60 and 116,069.20 is: 174,396.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,597.20 : 274,356.60 = 116,069.20 : x
  2. Step 2: Convert to fraction form
    182,597.20/274,356.60 = 116,069.20/x
  3. Step 3: Cross multiply
    182,597.20x = 274,356.60 × 116,069.20
  4. Step 4: Simplify right side
    182,597.20x = 31,844,351,076.72
  5. Step 5: Solve for x
    x = 31,844,351,076.72/182,597.20
  6. Step 6: Final answer
    x = 174,396.71

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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.