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Finding the Fourth Proportional to 100,163.66, 138,181.74 and 59,857.16

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Solution

The fourth proportional to 100,163.66, 138,181.74 and 59,857.16 is: 82,576.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,163.66 : 138,181.74 = 59,857.16 : x
  2. Step 2: Convert to fraction form
    100,163.66/138,181.74 = 59,857.16/x
  3. Step 3: Cross multiply
    100,163.66x = 138,181.74 × 59,857.16
  4. Step 4: Simplify right side
    100,163.66x = 8,271,166,520.26
  5. Step 5: Solve for x
    x = 8,271,166,520.26/100,163.66
  6. Step 6: Final answer
    x = 82,576.52

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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.