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Finding the Fourth Proportional to 149,493, 206,300.52 and 82,425

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Solution

The fourth proportional to 149,493, 206,300.52 and 82,425 is: 113,746.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,493 : 206,300.52 = 82,425 : x
  2. Step 2: Convert to fraction form
    149,493/206,300.52 = 82,425/x
  3. Step 3: Cross multiply
    149,493x = 206,300.52 × 82,425
  4. Step 4: Simplify right side
    149,493x = 17,004,320,361
  5. Step 5: Solve for x
    x = 17,004,320,361/149,493
  6. Step 6: Final answer
    x = 113,746.60

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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.