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Finding the Fourth Proportional to 149,391, 206,163.98 and 82,327.32

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Solution

The fourth proportional to 149,391, 206,163.98 and 82,327.32 is: 113,614.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,391 : 206,163.98 = 82,327.32 : x
  2. Step 2: Convert to fraction form
    149,391/206,163.98 = 82,327.32/x
  3. Step 3: Cross multiply
    149,391x = 206,163.98 × 82,327.32
  4. Step 4: Simplify right side
    149,391x = 16,972,927,953.93
  5. Step 5: Solve for x
    x = 16,972,927,953.93/149,391
  6. Step 6: Final answer
    x = 113,614.13

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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.