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Finding the Fourth Proportional to 198,691.77, 297,386.11 and 108,596.48

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Solution

The fourth proportional to 198,691.77, 297,386.11 and 108,596.48 is: 162,538.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,691.77 : 297,386.11 = 108,596.48 : x
  2. Step 2: Convert to fraction form
    198,691.77/297,386.11 = 108,596.48/x
  3. Step 3: Cross multiply
    198,691.77x = 297,386.11 × 108,596.48
  4. Step 4: Simplify right side
    198,691.77x = 32,295,084,457.65
  5. Step 5: Solve for x
    x = 32,295,084,457.65/198,691.77
  6. Step 6: Final answer
    x = 162,538.61

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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.