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Finding the Fourth Proportional to 204,512.09, 306,783.50 and 54,749.06

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Solution

The fourth proportional to 204,512.09, 306,783.50 and 54,749.06 is: 82,127.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,512.09 : 306,783.50 = 54,749.06 : x
  2. Step 2: Convert to fraction form
    204,512.09/306,783.50 = 54,749.06/x
  3. Step 3: Cross multiply
    204,512.09x = 306,783.50 × 54,749.06
  4. Step 4: Simplify right side
    204,512.09x = 16,796,106,440.85
  5. Step 5: Solve for x
    x = 16,796,106,440.85/204,512.09
  6. Step 6: Final answer
    x = 82,127.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.