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Finding the Fourth Proportional to 109,163.35, 150,639.10 and 61,414.66

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Solution

The fourth proportional to 109,163.35, 150,639.10 and 61,414.66 is: 84,748.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,163.35 : 150,639.10 = 61,414.66 : x
  2. Step 2: Convert to fraction form
    109,163.35/150,639.10 = 61,414.66/x
  3. Step 3: Cross multiply
    109,163.35x = 150,639.10 × 61,414.66
  4. Step 4: Simplify right side
    109,163.35x = 9,251,449,109.21
  5. Step 5: Solve for x
    x = 9,251,449,109.21/109,163.35
  6. Step 6: Final answer
    x = 84,748.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.