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Finding the Fourth Proportional to 149,410.32, 206,186.28 and 82,342.32

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Solution

The fourth proportional to 149,410.32, 206,186.28 and 82,342.32 is: 113,632.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,410.32 : 206,186.28 = 82,342.32 : x
  2. Step 2: Convert to fraction form
    149,410.32/206,186.28 = 82,342.32/x
  3. Step 3: Cross multiply
    149,410.32x = 206,186.28 × 82,342.32
  4. Step 4: Simplify right side
    149,410.32x = 16,977,856,647.37
  5. Step 5: Solve for x
    x = 16,977,856,647.37/149,410.32
  6. Step 6: Final answer
    x = 113,632.42

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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.