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Finding the Fourth Proportional to 192,702.20, 288,923.70 and 102,759.80

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Solution

The fourth proportional to 192,702.20, 288,923.70 and 102,759.80 is: 154,070.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,702.20 : 288,923.70 = 102,759.80 : x
  2. Step 2: Convert to fraction form
    192,702.20/288,923.70 = 102,759.80/x
  3. Step 3: Cross multiply
    192,702.20x = 288,923.70 × 102,759.80
  4. Step 4: Simplify right side
    192,702.20x = 29,689,741,627.26
  5. Step 5: Solve for x
    x = 29,689,741,627.26/192,702.20
  6. Step 6: Final answer
    x = 154,070.59

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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.