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Finding the Fourth Proportional to 202,163.70, 303,245.55 and 180,390.90

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Solution

The fourth proportional to 202,163.70, 303,245.55 and 180,390.90 is: 270,586.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,163.70 : 303,245.55 = 180,390.90 : x
  2. Step 2: Convert to fraction form
    202,163.70/303,245.55 = 180,390.90/x
  3. Step 3: Cross multiply
    202,163.70x = 303,245.55 × 180,390.90
  4. Step 4: Simplify right side
    202,163.70x = 54,702,737,685.50
  5. Step 5: Solve for x
    x = 54,702,737,685.50/202,163.70
  6. Step 6: Final answer
    x = 270,586.35

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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.