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Finding the Fourth Proportional to 204,355.96, 281,968.92 and 119,456.56

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Solution

The fourth proportional to 204,355.96, 281,968.92 and 119,456.56 is: 164,825.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,355.96 : 281,968.92 = 119,456.56 : x
  2. Step 2: Convert to fraction form
    204,355.96/281,968.92 = 119,456.56/x
  3. Step 3: Cross multiply
    204,355.96x = 281,968.92 × 119,456.56
  4. Step 4: Simplify right side
    204,355.96x = 33,683,037,210.12
  5. Step 5: Solve for x
    x = 33,683,037,210.12/204,355.96
  6. Step 6: Final answer
    x = 164,825.32

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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.