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Finding the Fourth Proportional to 221,034.09, 305,027.06 and 120,432.09

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Solution

The fourth proportional to 221,034.09, 305,027.06 and 120,432.09 is: 166,196.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,034.09 : 305,027.06 = 120,432.09 : x
  2. Step 2: Convert to fraction form
    221,034.09/305,027.06 = 120,432.09/x
  3. Step 3: Cross multiply
    221,034.09x = 305,027.06 × 120,432.09
  4. Step 4: Simplify right side
    221,034.09x = 36,735,046,884.05
  5. Step 5: Solve for x
    x = 36,735,046,884.05/221,034.09
  6. Step 6: Final answer
    x = 166,196.29

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