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Finding the Fourth Proportional to 204,172.52, 281,762.96 and 113,532.30

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Solution

The fourth proportional to 204,172.52, 281,762.96 and 113,532.30 is: 156,677.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,172.52 : 281,762.96 = 113,532.30 : x
  2. Step 2: Convert to fraction form
    204,172.52/281,762.96 = 113,532.30/x
  3. Step 3: Cross multiply
    204,172.52x = 281,762.96 × 113,532.30
  4. Step 4: Simplify right side
    204,172.52x = 31,989,196,335.95
  5. Step 5: Solve for x
    x = 31,989,196,335.95/204,172.52
  6. Step 6: Final answer
    x = 156,677.29

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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.