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Finding the Fourth Proportional to 198,195.61, 297,338.82 and 85,894.69

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Solution

The fourth proportional to 198,195.61, 297,338.82 and 85,894.69 is: 128,861.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,195.61 : 297,338.82 = 85,894.69 : x
  2. Step 2: Convert to fraction form
    198,195.61/297,338.82 = 85,894.69/x
  3. Step 3: Cross multiply
    198,195.61x = 297,338.82 × 85,894.69
  4. Step 4: Simplify right side
    198,195.61x = 25,539,825,768.87
  5. Step 5: Solve for x
    x = 25,539,825,768.87/198,195.61
  6. Step 6: Final answer
    x = 128,861.71

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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.