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Finding the Fourth Proportional to 234,896.90, 352,344.36 and 85,102.08

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Solution

The fourth proportional to 234,896.90, 352,344.36 and 85,102.08 is: 127,652.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,896.90 : 352,344.36 = 85,102.08 : x
  2. Step 2: Convert to fraction form
    234,896.90/352,344.36 = 85,102.08/x
  3. Step 3: Cross multiply
    234,896.90x = 352,344.36 × 85,102.08
  4. Step 4: Simplify right side
    234,896.90x = 29,985,237,912.27
  5. Step 5: Solve for x
    x = 29,985,237,912.27/234,896.90
  6. Step 6: Final answer
    x = 127,652.76

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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.