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Finding the Fourth Proportional to 202,874.38, 279,961.59 and 112,235.38

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Solution

The fourth proportional to 202,874.38, 279,961.59 and 112,235.38 is: 154,882.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,874.38 : 279,961.59 = 112,235.38 : x
  2. Step 2: Convert to fraction form
    202,874.38/279,961.59 = 112,235.38/x
  3. Step 3: Cross multiply
    202,874.38x = 279,961.59 × 112,235.38
  4. Step 4: Simplify right side
    202,874.38x = 31,421,595,439.05
  5. Step 5: Solve for x
    x = 31,421,595,439.05/202,874.38
  6. Step 6: Final answer
    x = 154,882.03

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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.