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Finding the Fourth Proportional to 192,704.40, 289,056.60 and 185,446.80

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Solution

The fourth proportional to 192,704.40, 289,056.60 and 185,446.80 is: 278,170.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,704.40 : 289,056.60 = 185,446.80 : x
  2. Step 2: Convert to fraction form
    192,704.40/289,056.60 = 185,446.80/x
  3. Step 3: Cross multiply
    192,704.40x = 289,056.60 × 185,446.80
  4. Step 4: Simplify right side
    192,704.40x = 53,604,621,488.88
  5. Step 5: Solve for x
    x = 53,604,621,488.88/192,704.40
  6. Step 6: Final answer
    x = 278,170.20

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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.