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Finding the Fourth Proportional to 135,744.12, 187,322.28 and 82,019.64

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Solution

The fourth proportional to 135,744.12, 187,322.28 and 82,019.64 is: 113,184.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,744.12 : 187,322.28 = 82,019.64 : x
  2. Step 2: Convert to fraction form
    135,744.12/187,322.28 = 82,019.64/x
  3. Step 3: Cross multiply
    135,744.12x = 187,322.28 × 82,019.64
  4. Step 4: Simplify right side
    135,744.12x = 15,364,105,969.58
  5. Step 5: Solve for x
    x = 15,364,105,969.58/135,744.12
  6. Step 6: Final answer
    x = 113,184.32

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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.