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Finding the Fourth Proportional to 110,692.44, 166,127.13 and 57,399.57

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Solution

The fourth proportional to 110,692.44, 166,127.13 and 57,399.57 is: 86,145.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,692.44 : 166,127.13 = 57,399.57 : x
  2. Step 2: Convert to fraction form
    110,692.44/166,127.13 = 57,399.57/x
  3. Step 3: Cross multiply
    110,692.44x = 166,127.13 × 57,399.57
  4. Step 4: Simplify right side
    110,692.44x = 9,535,625,827.33
  5. Step 5: Solve for x
    x = 9,535,625,827.33/110,692.44
  6. Step 6: Final answer
    x = 86,145.23

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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.