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Finding the Fourth Proportional to 203,855.34, 305,786.20 and 61,702.17

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Solution

The fourth proportional to 203,855.34, 305,786.20 and 61,702.17 is: 92,554.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,855.34 : 305,786.20 = 61,702.17 : x
  2. Step 2: Convert to fraction form
    203,855.34/305,786.20 = 61,702.17/x
  3. Step 3: Cross multiply
    203,855.34x = 305,786.20 × 61,702.17
  4. Step 4: Simplify right side
    203,855.34x = 18,867,672,096.05
  5. Step 5: Solve for x
    x = 18,867,672,096.05/203,855.34
  6. Step 6: Final answer
    x = 92,554.22

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Why These Related Problems?

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