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Finding the Fourth Proportional to 198,967.34, 298,451.04 and 65,811.86

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Solution

The fourth proportional to 198,967.34, 298,451.04 and 65,811.86 is: 98,717.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,967.34 : 298,451.04 = 65,811.86 : x
  2. Step 2: Convert to fraction form
    198,967.34/298,451.04 = 65,811.86/x
  3. Step 3: Cross multiply
    198,967.34x = 298,451.04 × 65,811.86
  4. Step 4: Simplify right side
    198,967.34x = 19,641,618,061.33
  5. Step 5: Solve for x
    x = 19,641,618,061.33/198,967.34
  6. Step 6: Final answer
    x = 98,717.80

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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.