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Finding the Fourth Proportional to 221,512, 331,725.12 and 200,211.52

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Solution

The fourth proportional to 221,512, 331,725.12 and 200,211.52 is: 299,826.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,512 : 331,725.12 = 200,211.52 : x
  2. Step 2: Convert to fraction form
    221,512/331,725.12 = 200,211.52/x
  3. Step 3: Cross multiply
    221,512x = 331,725.12 × 200,211.52
  4. Step 4: Simplify right side
    221,512x = 66,415,190,497.38
  5. Step 5: Solve for x
    x = 66,415,190,497.38/221,512
  6. Step 6: Final answer
    x = 299,826.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.