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Finding the Fourth Proportional to 270,077.20, 405,115.80 and 169,912.60

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Solution

The fourth proportional to 270,077.20, 405,115.80 and 169,912.60 is: 254,868.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,077.20 : 405,115.80 = 169,912.60 : x
  2. Step 2: Convert to fraction form
    270,077.20/405,115.80 = 169,912.60/x
  3. Step 3: Cross multiply
    270,077.20x = 405,115.80 × 169,912.60
  4. Step 4: Simplify right side
    270,077.20x = 68,834,278,879.08
  5. Step 5: Solve for x
    x = 68,834,278,879.08/270,077.20
  6. Step 6: Final answer
    x = 254,868.90

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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.