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Finding the Fourth Proportional to 192,196.80, 287,906.40 and 133,099.20

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Solution

The fourth proportional to 192,196.80, 287,906.40 and 133,099.20 is: 199,379.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,196.80 : 287,906.40 = 133,099.20 : x
  2. Step 2: Convert to fraction form
    192,196.80/287,906.40 = 133,099.20/x
  3. Step 3: Cross multiply
    192,196.80x = 287,906.40 × 133,099.20
  4. Step 4: Simplify right side
    192,196.80x = 38,320,111,514.88
  5. Step 5: Solve for x
    x = 38,320,111,514.88/192,196.80
  6. Step 6: Final answer
    x = 199,379.55

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1.5x scale

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.