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Finding the Fourth Proportional to 192,408.40, 288,175.20 and 98,804.80

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Solution

The fourth proportional to 192,408.40, 288,175.20 and 98,804.80 is: 147,982.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,408.40 : 288,175.20 = 98,804.80 : x
  2. Step 2: Convert to fraction form
    192,408.40/288,175.20 = 98,804.80/x
  3. Step 3: Cross multiply
    192,408.40x = 288,175.20 × 98,804.80
  4. Step 4: Simplify right side
    192,408.40x = 28,473,093,000.96
  5. Step 5: Solve for x
    x = 28,473,093,000.96/192,408.40
  6. Step 6: Final answer
    x = 147,982.59

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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.