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Finding the Fourth Proportional to 204,203.88, 281,760.06 and 119,304.54

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Solution

The fourth proportional to 204,203.88, 281,760.06 and 119,304.54 is: 164,616.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,203.88 : 281,760.06 = 119,304.54 : x
  2. Step 2: Convert to fraction form
    204,203.88/281,760.06 = 119,304.54/x
  3. Step 3: Cross multiply
    204,203.88x = 281,760.06 × 119,304.54
  4. Step 4: Simplify right side
    204,203.88x = 33,615,254,348.67
  5. Step 5: Solve for x
    x = 33,615,254,348.67/204,203.88
  6. Step 6: Final answer
    x = 164,616.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.