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Finding the Fourth Proportional to 221,034.38, 305,027.44 and 120,432.38

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Solution

The fourth proportional to 221,034.38, 305,027.44 and 120,432.38 is: 166,196.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,034.38 : 305,027.44 = 120,432.38 : x
  2. Step 2: Convert to fraction form
    221,034.38/305,027.44 = 120,432.38/x
  3. Step 3: Cross multiply
    221,034.38x = 305,027.44 × 120,432.38
  4. Step 4: Simplify right side
    221,034.38x = 36,735,178,738.29
  5. Step 5: Solve for x
    x = 36,735,178,738.29/221,034.38
  6. Step 6: Final answer
    x = 166,196.68

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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.