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Finding the Fourth Proportional to 204,263.56, 281,883 and 114,839.56

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Solution

The fourth proportional to 204,263.56, 281,883 and 114,839.56 is: 158,478.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,263.56 : 281,883 = 114,839.56 : x
  2. Step 2: Convert to fraction form
    204,263.56/281,883 = 114,839.56/x
  3. Step 3: Cross multiply
    204,263.56x = 281,883 × 114,839.56
  4. Step 4: Simplify right side
    204,263.56x = 32,371,319,691.48
  5. Step 5: Solve for x
    x = 32,371,319,691.48/204,263.56
  6. Step 6: Final answer
    x = 158,478.19

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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.