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Finding the Fourth Proportional to 135,692.88, 203,545.71 and 111,956.43

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Solution

The fourth proportional to 135,692.88, 203,545.71 and 111,956.43 is: 167,939.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,692.88 : 203,545.71 = 111,956.43 : x
  2. Step 2: Convert to fraction form
    135,692.88/203,545.71 = 111,956.43/x
  3. Step 3: Cross multiply
    135,692.88x = 203,545.71 × 111,956.43
  4. Step 4: Simplify right side
    135,692.88x = 22,788,251,033.42
  5. Step 5: Solve for x
    x = 22,788,251,033.42/135,692.88
  6. Step 6: Final answer
    x = 167,939.92

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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.