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Finding the Fourth Proportional to 198,089.80, 296,979.18 and 135,570.76

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Solution

The fourth proportional to 198,089.80, 296,979.18 and 135,570.76 is: 203,249.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,089.80 : 296,979.18 = 135,570.76 : x
  2. Step 2: Convert to fraction form
    198,089.80/296,979.18 = 135,570.76/x
  3. Step 3: Cross multiply
    198,089.80x = 296,979.18 × 135,570.76
  4. Step 4: Simplify right side
    198,089.80x = 40,261,693,136.78
  5. Step 5: Solve for x
    x = 40,261,693,136.78/198,089.80
  6. Step 6: Final answer
    x = 203,249.70

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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.