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Finding the Fourth Proportional to 128,105.06, 192,274.19 and 68,183.84

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Solution

The fourth proportional to 128,105.06, 192,274.19 and 68,183.84 is: 102,337.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,105.06 : 192,274.19 = 68,183.84 : x
  2. Step 2: Convert to fraction form
    128,105.06/192,274.19 = 68,183.84/x
  3. Step 3: Cross multiply
    128,105.06x = 192,274.19 × 68,183.84
  4. Step 4: Simplify right side
    128,105.06x = 13,109,992,479.04
  5. Step 5: Solve for x
    x = 13,109,992,479.04/128,105.06
  6. Step 6: Final answer
    x = 102,337.82

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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.