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Finding the Fourth Proportional to 203,399.44, 304,857.20 and 153,314.48

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Solution

The fourth proportional to 203,399.44, 304,857.20 and 153,314.48 is: 229,789.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,399.44 : 304,857.20 = 153,314.48 : x
  2. Step 2: Convert to fraction form
    203,399.44/304,857.20 = 153,314.48/x
  3. Step 3: Cross multiply
    203,399.44x = 304,857.20 × 153,314.48
  4. Step 4: Simplify right side
    203,399.44x = 46,739,023,092.26
  5. Step 5: Solve for x
    x = 46,739,023,092.26/203,399.44
  6. Step 6: Final answer
    x = 229,789.34

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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.