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Finding the Fourth Proportional to 201,937.38, 302,882.48 and 52,165.92

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Solution

The fourth proportional to 201,937.38, 302,882.48 and 52,165.92 is: 78,242.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,937.38 : 302,882.48 = 52,165.92 : x
  2. Step 2: Convert to fraction form
    201,937.38/302,882.48 = 52,165.92/x
  3. Step 3: Cross multiply
    201,937.38x = 302,882.48 × 52,165.92
  4. Step 4: Simplify right side
    201,937.38x = 15,800,143,221.08
  5. Step 5: Solve for x
    x = 15,800,143,221.08/201,937.38
  6. Step 6: Final answer
    x = 78,242.79

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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.