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Finding the Fourth Proportional to 192,577.58, 288,934.74 and 85,951.83

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Solution

The fourth proportional to 192,577.58, 288,934.74 and 85,951.83 is: 128,958.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,577.58 : 288,934.74 = 85,951.83 : x
  2. Step 2: Convert to fraction form
    192,577.58/288,934.74 = 85,951.83/x
  3. Step 3: Cross multiply
    192,577.58x = 288,934.74 × 85,951.83
  4. Step 4: Simplify right side
    192,577.58x = 24,834,469,653.57
  5. Step 5: Solve for x
    x = 24,834,469,653.57/192,577.58
  6. Step 6: Final answer
    x = 128,958.26

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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.