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Finding the Fourth Proportional to 192,640.80, 288,961.20 and 133,543.20

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Solution

The fourth proportional to 192,640.80, 288,961.20 and 133,543.20 is: 200,314.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,640.80 : 288,961.20 = 133,543.20 : x
  2. Step 2: Convert to fraction form
    192,640.80/288,961.20 = 133,543.20/x
  3. Step 3: Cross multiply
    192,640.80x = 288,961.20 × 133,543.20
  4. Step 4: Simplify right side
    192,640.80x = 38,588,803,323.84
  5. Step 5: Solve for x
    x = 38,588,803,323.84/192,640.80
  6. Step 6: Final answer
    x = 200,314.80

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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.