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Finding the Fourth Proportional to 198,846.92, 298,317.10 and 65,727.19

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Solution

The fourth proportional to 198,846.92, 298,317.10 and 65,727.19 is: 98,606.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,846.92 : 298,317.10 = 65,727.19 : x
  2. Step 2: Convert to fraction form
    198,846.92/298,317.10 = 65,727.19/x
  3. Step 3: Cross multiply
    198,846.92x = 298,317.10 × 65,727.19
  4. Step 4: Simplify right side
    198,846.92x = 19,607,544,711.95
  5. Step 5: Solve for x
    x = 19,607,544,711.95/198,846.92
  6. Step 6: Final answer
    x = 98,606.23

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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.