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Finding the Fourth Proportional to 202,559.40, 303,596.10 and 84,169.80

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Solution

The fourth proportional to 202,559.40, 303,596.10 and 84,169.80 is: 126,153.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,559.40 : 303,596.10 = 84,169.80 : x
  2. Step 2: Convert to fraction form
    202,559.40/303,596.10 = 84,169.80/x
  3. Step 3: Cross multiply
    202,559.40x = 303,596.10 × 84,169.80
  4. Step 4: Simplify right side
    202,559.40x = 25,553,623,017.78
  5. Step 5: Solve for x
    x = 25,553,623,017.78/202,559.40
  6. Step 6: Final answer
    x = 126,153.73

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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.