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Finding the Fourth Proportional to 203,828.80, 305,743.20 and 141,620.80

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Solution

The fourth proportional to 203,828.80, 305,743.20 and 141,620.80 is: 212,431.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,828.80 : 305,743.20 = 141,620.80 : x
  2. Step 2: Convert to fraction form
    203,828.80/305,743.20 = 141,620.80/x
  3. Step 3: Cross multiply
    203,828.80x = 305,743.20 × 141,620.80
  4. Step 4: Simplify right side
    203,828.80x = 43,299,596,578.56
  5. Step 5: Solve for x
    x = 43,299,596,578.56/203,828.80
  6. Step 6: Final answer
    x = 212,431.20

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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.