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Finding the Fourth Proportional to 198,561.65, 297,770.37 and 108,670.80

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Solution

The fourth proportional to 198,561.65, 297,770.37 and 108,670.80 is: 162,966.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,561.65 : 297,770.37 = 108,670.80 : x
  2. Step 2: Convert to fraction form
    198,561.65/297,770.37 = 108,670.80/x
  3. Step 3: Cross multiply
    198,561.65x = 297,770.37 × 108,670.80
  4. Step 4: Simplify right side
    198,561.65x = 32,358,942,835.34
  5. Step 5: Solve for x
    x = 32,358,942,835.34/198,561.65
  6. Step 6: Final answer
    x = 162,966.73

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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.