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Finding the Fourth Proportional to 204,393.54, 282,076.36 and 113,749.25

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Solution

The fourth proportional to 204,393.54, 282,076.36 and 113,749.25 is: 156,981.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,393.54 : 282,076.36 = 113,749.25 : x
  2. Step 2: Convert to fraction form
    204,393.54/282,076.36 = 113,749.25/x
  3. Step 3: Cross multiply
    204,393.54x = 282,076.36 × 113,749.25
  4. Step 4: Simplify right side
    204,393.54x = 32,085,972,697.98
  5. Step 5: Solve for x
    x = 32,085,972,697.98/204,393.54
  6. Step 6: Final answer
    x = 156,981.34

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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.