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Finding the Fourth Proportional to 252,093.90, 378,199.17 and 111,863.46

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Solution

The fourth proportional to 252,093.90, 378,199.17 and 111,863.46 is: 167,821.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,093.90 : 378,199.17 = 111,863.46 : x
  2. Step 2: Convert to fraction form
    252,093.90/378,199.17 = 111,863.46/x
  3. Step 3: Cross multiply
    252,093.90x = 378,199.17 × 111,863.46
  4. Step 4: Simplify right side
    252,093.90x = 42,306,667,166.01
  5. Step 5: Solve for x
    x = 42,306,667,166.01/252,093.90
  6. Step 6: Final answer
    x = 167,821.07

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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.