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Finding the Fourth Proportional to 201,958.38, 302,936.66 and 52,185.94

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Solution

The fourth proportional to 201,958.38, 302,936.66 and 52,185.94 is: 78,278.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,958.38 : 302,936.66 = 52,185.94 : x
  2. Step 2: Convert to fraction form
    201,958.38/302,936.66 = 52,185.94/x
  3. Step 3: Cross multiply
    201,958.38x = 302,936.66 × 52,185.94
  4. Step 4: Simplify right side
    201,958.38x = 15,809,034,362.56
  5. Step 5: Solve for x
    x = 15,809,034,362.56/201,958.38
  6. Step 6: Final answer
    x = 78,278.67

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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.