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Finding the Fourth Proportional to 200,538.38, 276,742.97 and 111,114.38

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Solution

The fourth proportional to 200,538.38, 276,742.97 and 111,114.38 is: 153,337.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,538.38 : 276,742.97 = 111,114.38 : x
  2. Step 2: Convert to fraction form
    200,538.38/276,742.97 = 111,114.38/x
  3. Step 3: Cross multiply
    200,538.38x = 276,742.97 × 111,114.38
  4. Step 4: Simplify right side
    200,538.38x = 30,750,123,530.91
  5. Step 5: Solve for x
    x = 30,750,123,530.91/200,538.38
  6. Step 6: Final answer
    x = 153,337.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.