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Finding the Fourth Proportional to 135,504, 186,995.52 and 82,512

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Solution

The fourth proportional to 135,504, 186,995.52 and 82,512 is: 113,866.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,504 : 186,995.52 = 82,512 : x
  2. Step 2: Convert to fraction form
    135,504/186,995.52 = 82,512/x
  3. Step 3: Cross multiply
    135,504x = 186,995.52 × 82,512
  4. Step 4: Simplify right side
    135,504x = 15,429,374,346.24
  5. Step 5: Solve for x
    x = 15,429,374,346.24/135,504
  6. Step 6: Final answer
    x = 113,866.56

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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.