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Finding the Fourth Proportional to 198,195.76, 297,339.03 and 85,894.81

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Solution

The fourth proportional to 198,195.76, 297,339.03 and 85,894.81 is: 128,861.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,195.76 : 297,339.03 = 85,894.81 : x
  2. Step 2: Convert to fraction form
    198,195.76/297,339.03 = 85,894.81/x
  3. Step 3: Cross multiply
    198,195.76x = 297,339.03 × 85,894.81
  4. Step 4: Simplify right side
    198,195.76x = 25,539,879,487.43
  5. Step 5: Solve for x
    x = 25,539,879,487.43/198,195.76
  6. Step 6: Final answer
    x = 128,861.89

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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.