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Finding the Fourth Proportional to 198,194.23, 297,213.58 and 79,843.51

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Solution

The fourth proportional to 198,194.23, 297,213.58 and 79,843.51 is: 119,733.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,194.23 : 297,213.58 = 79,843.51 : x
  2. Step 2: Convert to fraction form
    198,194.23/297,213.58 = 79,843.51/x
  3. Step 3: Cross multiply
    198,194.23x = 297,213.58 × 79,843.51
  4. Step 4: Simplify right side
    198,194.23x = 23,730,575,446.87
  5. Step 5: Solve for x
    x = 23,730,575,446.87/198,194.23
  6. Step 6: Final answer
    x = 119,733.94

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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.