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Finding the Fourth Proportional to 135,776.28, 187,362.80 and 82,029.54

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Solution

The fourth proportional to 135,776.28, 187,362.80 and 82,029.54 is: 113,195.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,776.28 : 187,362.80 = 82,029.54 : x
  2. Step 2: Convert to fraction form
    135,776.28/187,362.80 = 82,029.54/x
  3. Step 3: Cross multiply
    135,776.28x = 187,362.80 × 82,029.54
  4. Step 4: Simplify right side
    135,776.28x = 15,369,284,297.11
  5. Step 5: Solve for x
    x = 15,369,284,297.11/135,776.28
  6. Step 6: Final answer
    x = 113,195.65

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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.