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Finding the Fourth Proportional to 203,835.06, 305,717.75 and 54,090.50

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Solution

The fourth proportional to 203,835.06, 305,717.75 and 54,090.50 is: 81,126.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,835.06 : 305,717.75 = 54,090.50 : x
  2. Step 2: Convert to fraction form
    203,835.06/305,717.75 = 54,090.50/x
  3. Step 3: Cross multiply
    203,835.06x = 305,717.75 × 54,090.50
  4. Step 4: Simplify right side
    203,835.06x = 16,536,424,157.33
  5. Step 5: Solve for x
    x = 16,536,424,157.33/203,835.06
  6. Step 6: Final answer
    x = 81,126.50

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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.