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Finding the Fourth Proportional to 192,692.70, 289,024.65 and 80,343.90

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Solution

The fourth proportional to 192,692.70, 289,024.65 and 80,343.90 is: 120,509.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,692.70 : 289,024.65 = 80,343.90 : x
  2. Step 2: Convert to fraction form
    192,692.70/289,024.65 = 80,343.90/x
  3. Step 3: Cross multiply
    192,692.70x = 289,024.65 × 80,343.90
  4. Step 4: Simplify right side
    192,692.70x = 23,221,367,577.14
  5. Step 5: Solve for x
    x = 23,221,367,577.14/192,692.70
  6. Step 6: Final answer
    x = 120,509.85

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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.