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Finding the Fourth Proportional to 156,644.14, 216,163.14 and 85,022.63

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Solution

The fourth proportional to 156,644.14, 216,163.14 and 85,022.63 is: 117,328.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,644.14 : 216,163.14 = 85,022.63 : x
  2. Step 2: Convert to fraction form
    156,644.14/216,163.14 = 85,022.63/x
  3. Step 3: Cross multiply
    156,644.14x = 216,163.14 × 85,022.63
  4. Step 4: Simplify right side
    156,644.14x = 18,378,757,378.49
  5. Step 5: Solve for x
    x = 18,378,757,378.49/156,644.14
  6. Step 6: Final answer
    x = 117,328.09

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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.