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Finding the Fourth Proportional to 128,728.50, 193,093.02 and 54,856.50

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Solution

The fourth proportional to 128,728.50, 193,093.02 and 54,856.50 is: 82,284.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,728.50 : 193,093.02 = 54,856.50 : x
  2. Step 2: Convert to fraction form
    128,728.50/193,093.02 = 54,856.50/x
  3. Step 3: Cross multiply
    128,728.50x = 193,093.02 × 54,856.50
  4. Step 4: Simplify right side
    128,728.50x = 10,592,407,251.63
  5. Step 5: Solve for x
    x = 10,592,407,251.63/128,728.50
  6. Step 6: Final answer
    x = 82,284.87

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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.