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Finding the Fourth Proportional to 95,896.64, 143,745.14 and 53,714.87

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Solution

The fourth proportional to 95,896.64, 143,745.14 and 53,714.87 is: 80,516.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,896.64 : 143,745.14 = 53,714.87 : x
  2. Step 2: Convert to fraction form
    95,896.64/143,745.14 = 53,714.87/x
  3. Step 3: Cross multiply
    95,896.64x = 143,745.14 × 53,714.87
  4. Step 4: Simplify right side
    95,896.64x = 7,721,250,520.93
  5. Step 5: Solve for x
    x = 7,721,250,520.93/95,896.64
  6. Step 6: Final answer
    x = 80,516.39

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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.