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Finding the Fourth Proportional to 204,093.60, 281,647.60 and 114,669.60

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Solution

The fourth proportional to 204,093.60, 281,647.60 and 114,669.60 is: 158,243.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,093.60 : 281,647.60 = 114,669.60 : x
  2. Step 2: Convert to fraction form
    204,093.60/281,647.60 = 114,669.60/x
  3. Step 3: Cross multiply
    204,093.60x = 281,647.60 × 114,669.60
  4. Step 4: Simplify right side
    204,093.60x = 32,296,417,632.96
  5. Step 5: Solve for x
    x = 32,296,417,632.96/204,093.60
  6. Step 6: Final answer
    x = 158,243.17

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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.