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Finding the Fourth Proportional to 107,138.41, 160,692.12 and 75,020.04

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Solution

The fourth proportional to 107,138.41, 160,692.12 and 75,020.04 is: 112,519.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,138.41 : 160,692.12 = 75,020.04 : x
  2. Step 2: Convert to fraction form
    107,138.41/160,692.12 = 75,020.04/x
  3. Step 3: Cross multiply
    107,138.41x = 160,692.12 × 75,020.04
  4. Step 4: Simplify right side
    107,138.41x = 12,055,129,270.08
  5. Step 5: Solve for x
    x = 12,055,129,270.08/107,138.41
  6. Step 6: Final answer
    x = 112,519.21

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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.