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Finding the Fourth Proportional to 102,865.80, 154,364.22 and 68,748.60

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Solution

The fourth proportional to 102,865.80, 154,364.22 and 68,748.60 is: 103,166.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,865.80 : 154,364.22 = 68,748.60 : x
  2. Step 2: Convert to fraction form
    102,865.80/154,364.22 = 68,748.60/x
  3. Step 3: Cross multiply
    102,865.80x = 154,364.22 × 68,748.60
  4. Step 4: Simplify right side
    102,865.80x = 10,612,324,015.09
  5. Step 5: Solve for x
    x = 10,612,324,015.09/102,865.80
  6. Step 6: Final answer
    x = 103,166.69

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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.