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Finding the Fourth Proportional to 221,047.94, 305,046.15 and 120,445.94

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Solution

The fourth proportional to 221,047.94, 305,046.15 and 120,445.94 is: 166,215.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,047.94 : 305,046.15 = 120,445.94 : x
  2. Step 2: Convert to fraction form
    221,047.94/305,046.15 = 120,445.94/x
  3. Step 3: Cross multiply
    221,047.94x = 305,046.15 × 120,445.94
  4. Step 4: Simplify right side
    221,047.94x = 36,741,568,754.90
  5. Step 5: Solve for x
    x = 36,741,568,754.90/221,047.94
  6. Step 6: Final answer
    x = 166,215.39

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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.