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Finding the Fourth Proportional to 182,912.20, 274,238.70 and 83,120.20

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Solution

The fourth proportional to 182,912.20, 274,238.70 and 83,120.20 is: 124,621.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,912.20 : 274,238.70 = 83,120.20 : x
  2. Step 2: Convert to fraction form
    182,912.20/274,238.70 = 83,120.20/x
  3. Step 3: Cross multiply
    182,912.20x = 274,238.70 × 83,120.20
  4. Step 4: Simplify right side
    182,912.20x = 22,794,775,591.74
  5. Step 5: Solve for x
    x = 22,794,775,591.74/182,912.20
  6. Step 6: Final answer
    x = 124,621.41

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1.5x scale

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.