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Finding the Fourth Proportional to 204,205.88, 281,762.82 and 119,306.54

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Solution

The fourth proportional to 204,205.88, 281,762.82 and 119,306.54 is: 164,618.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,205.88 : 281,762.82 = 119,306.54 : x
  2. Step 2: Convert to fraction form
    204,205.88/281,762.82 = 119,306.54/x
  3. Step 3: Cross multiply
    204,205.88x = 281,762.82 × 119,306.54
  4. Step 4: Simplify right side
    204,205.88x = 33,616,147,154.84
  5. Step 5: Solve for x
    x = 33,616,147,154.84/204,205.88
  6. Step 6: Final answer
    x = 164,618.90

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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.