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Finding the Fourth Proportional to 221,284.74, 305,372.39 and 120,682.74

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Solution

The fourth proportional to 221,284.74, 305,372.39 and 120,682.74 is: 166,541.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,284.74 : 305,372.39 = 120,682.74 : x
  2. Step 2: Convert to fraction form
    221,284.74/305,372.39 = 120,682.74/x
  3. Step 3: Cross multiply
    221,284.74x = 305,372.39 × 120,682.74
  4. Step 4: Simplify right side
    221,284.74x = 36,853,176,142.13
  5. Step 5: Solve for x
    x = 36,853,176,142.13/221,284.74
  6. Step 6: Final answer
    x = 166,541.88

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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.