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Finding the Fourth Proportional to 192,651.60, 288,977.40 and 50,496.60

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Solution

The fourth proportional to 192,651.60, 288,977.40 and 50,496.60 is: 75,744.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,651.60 : 288,977.40 = 50,496.60 : x
  2. Step 2: Convert to fraction form
    192,651.60/288,977.40 = 50,496.60/x
  3. Step 3: Cross multiply
    192,651.60x = 288,977.40 × 50,496.60
  4. Step 4: Simplify right side
    192,651.60x = 14,592,376,176.84
  5. Step 5: Solve for x
    x = 14,592,376,176.84/192,651.60
  6. Step 6: Final answer
    x = 75,744.90

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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.