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Finding the Fourth Proportional to 189,217.50, 283,826.25 and 76,958.79

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Solution

The fourth proportional to 189,217.50, 283,826.25 and 76,958.79 is: 115,438.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,217.50 : 283,826.25 = 76,958.79 : x
  2. Step 2: Convert to fraction form
    189,217.50/283,826.25 = 76,958.79/x
  3. Step 3: Cross multiply
    189,217.50x = 283,826.25 × 76,958.79
  4. Step 4: Simplify right side
    189,217.50x = 21,842,924,770.24
  5. Step 5: Solve for x
    x = 21,842,924,770.24/189,217.50
  6. Step 6: Final answer
    x = 115,438.19

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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.