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Finding the Fourth Proportional to 135,924.59, 187,580 and 82,219.43

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Solution

The fourth proportional to 135,924.59, 187,580 and 82,219.43 is: 113,465.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,924.59 : 187,580 = 82,219.43 : x
  2. Step 2: Convert to fraction form
    135,924.59/187,580 = 82,219.43/x
  3. Step 3: Cross multiply
    135,924.59x = 187,580 × 82,219.43
  4. Step 4: Simplify right side
    135,924.59x = 15,422,720,679.40
  5. Step 5: Solve for x
    x = 15,422,720,679.40/135,924.59
  6. Step 6: Final answer
    x = 113,465.27

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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.