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Finding the Fourth Proportional to 189,238.49, 283,536.39 and 114,200.96

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Solution

The fourth proportional to 189,238.49, 283,536.39 and 114,200.96 is: 171,107.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,238.49 : 283,536.39 = 114,200.96 : x
  2. Step 2: Convert to fraction form
    189,238.49/283,536.39 = 114,200.96/x
  3. Step 3: Cross multiply
    189,238.49x = 283,536.39 × 114,200.96
  4. Step 4: Simplify right side
    189,238.49x = 32,380,126,515.25
  5. Step 5: Solve for x
    x = 32,380,126,515.25/189,238.49
  6. Step 6: Final answer
    x = 171,107.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.