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Finding the Fourth Proportional to 120,664.80, 180,964.80 and 50,529.60

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Solution

The fourth proportional to 120,664.80, 180,964.80 and 50,529.60 is: 75,780.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,664.80 : 180,964.80 = 50,529.60 : x
  2. Step 2: Convert to fraction form
    120,664.80/180,964.80 = 50,529.60/x
  3. Step 3: Cross multiply
    120,664.80x = 180,964.80 × 50,529.60
  4. Step 4: Simplify right side
    120,664.80x = 9,144,078,958.08
  5. Step 5: Solve for x
    x = 9,144,078,958.08/120,664.80
  6. Step 6: Final answer
    x = 75,780.83

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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.