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Finding the Fourth Proportional to 111,190.82, 166,795.42 and 36,309.30

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Solution

The fourth proportional to 111,190.82, 166,795.42 and 36,309.30 is: 54,466.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,190.82 : 166,795.42 = 36,309.30 : x
  2. Step 2: Convert to fraction form
    111,190.82/166,795.42 = 36,309.30/x
  3. Step 3: Cross multiply
    111,190.82x = 166,795.42 × 36,309.30
  4. Step 4: Simplify right side
    111,190.82x = 6,056,224,943.41
  5. Step 5: Solve for x
    x = 6,056,224,943.41/111,190.82
  6. Step 6: Final answer
    x = 54,466.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.