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Finding the Fourth Proportional to 109,076.95, 163,517 and 75,812.68

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Solution

The fourth proportional to 109,076.95, 163,517 and 75,812.68 is: 113,650.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,076.95 : 163,517 = 75,812.68 : x
  2. Step 2: Convert to fraction form
    109,076.95/163,517 = 75,812.68/x
  3. Step 3: Cross multiply
    109,076.95x = 163,517 × 75,812.68
  4. Step 4: Simplify right side
    109,076.95x = 12,396,661,995.56
  5. Step 5: Solve for x
    x = 12,396,661,995.56/109,076.95
  6. Step 6: Final answer
    x = 113,650.61

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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.