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Finding the Fourth Proportional to 128,729.50, 193,094.52 and 54,857.50

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Solution

The fourth proportional to 128,729.50, 193,094.52 and 54,857.50 is: 82,286.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,729.50 : 193,094.52 = 54,857.50 : x
  2. Step 2: Convert to fraction form
    128,729.50/193,094.52 = 54,857.50/x
  3. Step 3: Cross multiply
    128,729.50x = 193,094.52 × 54,857.50
  4. Step 4: Simplify right side
    128,729.50x = 10,592,682,630.90
  5. Step 5: Solve for x
    x = 10,592,682,630.90/128,729.50
  6. Step 6: Final answer
    x = 82,286.37

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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.