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Finding the Fourth Proportional to 221,506.56, 305,682.24 and 120,902.40

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Solution

The fourth proportional to 221,506.56, 305,682.24 and 120,902.40 is: 166,847.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,506.56 : 305,682.24 = 120,902.40 : x
  2. Step 2: Convert to fraction form
    221,506.56/305,682.24 = 120,902.40/x
  3. Step 3: Cross multiply
    221,506.56x = 305,682.24 × 120,902.40
  4. Step 4: Simplify right side
    221,506.56x = 36,957,716,453.38
  5. Step 5: Solve for x
    x = 36,957,716,453.38/221,506.56
  6. Step 6: Final answer
    x = 166,847.05

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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.