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Finding the Fourth Proportional to 192,692.20, 289,023.90 and 80,343.40

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Solution

The fourth proportional to 192,692.20, 289,023.90 and 80,343.40 is: 120,509.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,692.20 : 289,023.90 = 80,343.40 : x
  2. Step 2: Convert to fraction form
    192,692.20/289,023.90 = 80,343.40/x
  3. Step 3: Cross multiply
    192,692.20x = 289,023.90 × 80,343.40
  4. Step 4: Simplify right side
    192,692.20x = 23,221,162,807.26
  5. Step 5: Solve for x
    x = 23,221,162,807.26/192,692.20
  6. Step 6: Final answer
    x = 120,509.10

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1.5x scale

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.