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Finding the Fourth Proportional to 204,016.50, 281,576.16 and 169,971

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Solution

The fourth proportional to 204,016.50, 281,576.16 and 169,971 is: 234,587.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,016.50 : 281,576.16 = 169,971 : x
  2. Step 2: Convert to fraction form
    204,016.50/281,576.16 = 169,971/x
  3. Step 3: Cross multiply
    204,016.50x = 281,576.16 × 169,971
  4. Step 4: Simplify right side
    204,016.50x = 47,859,781,491.36
  5. Step 5: Solve for x
    x = 47,859,781,491.36/204,016.50
  6. Step 6: Final answer
    x = 234,587.80

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