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Finding the Fourth Proportional to 203,664.54, 305,398.17 and 119,452.28

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Solution

The fourth proportional to 203,664.54, 305,398.17 and 119,452.28 is: 179,120.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,664.54 : 305,398.17 = 119,452.28 : x
  2. Step 2: Convert to fraction form
    203,664.54/305,398.17 = 119,452.28/x
  3. Step 3: Cross multiply
    203,664.54x = 305,398.17 × 119,452.28
  4. Step 4: Simplify right side
    203,664.54x = 36,480,507,714.33
  5. Step 5: Solve for x
    x = 36,480,507,714.33/203,664.54
  6. Step 6: Final answer
    x = 179,120.57

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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.