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Finding the Fourth Proportional to 201,896.67, 302,846.16 and 52,126.73

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Solution

The fourth proportional to 201,896.67, 302,846.16 and 52,126.73 is: 78,190.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,896.67 : 302,846.16 = 52,126.73 : x
  2. Step 2: Convert to fraction form
    201,896.67/302,846.16 = 52,126.73/x
  3. Step 3: Cross multiply
    201,896.67x = 302,846.16 × 52,126.73
  4. Step 4: Simplify right side
    201,896.67x = 15,786,378,499.63
  5. Step 5: Solve for x
    x = 15,786,378,499.63/201,896.67
  6. Step 6: Final answer
    x = 78,190.39

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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.