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Finding the Fourth Proportional to 182,798.42, 274,086.90 and 119,542.17

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Solution

The fourth proportional to 182,798.42, 274,086.90 and 119,542.17 is: 179,240.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,798.42 : 274,086.90 = 119,542.17 : x
  2. Step 2: Convert to fraction form
    182,798.42/274,086.90 = 119,542.17/x
  3. Step 3: Cross multiply
    182,798.42x = 274,086.90 × 119,542.17
  4. Step 4: Simplify right side
    182,798.42x = 32,764,942,794.57
  5. Step 5: Solve for x
    x = 32,764,942,794.57/182,798.42
  6. Step 6: Final answer
    x = 179,240.85

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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.