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Finding the Fourth Proportional to 202,049.34, 303,074.01 and 201,757.74

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Solution

The fourth proportional to 202,049.34, 303,074.01 and 201,757.74 is: 302,636.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,049.34 : 303,074.01 = 201,757.74 : x
  2. Step 2: Convert to fraction form
    202,049.34/303,074.01 = 201,757.74/x
  3. Step 3: Cross multiply
    202,049.34x = 303,074.01 × 201,757.74
  4. Step 4: Simplify right side
    202,049.34x = 61,147,527,310.34
  5. Step 5: Solve for x
    x = 61,147,527,310.34/202,049.34
  6. Step 6: Final answer
    x = 302,636.61

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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.