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Finding the Fourth Proportional to 189,439.89, 283,913.79 and 76,989.25

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Solution

The fourth proportional to 189,439.89, 283,913.79 and 76,989.25 is: 115,383.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,439.89 : 283,913.79 = 76,989.25 : x
  2. Step 2: Convert to fraction form
    189,439.89/283,913.79 = 76,989.25/x
  3. Step 3: Cross multiply
    189,439.89x = 283,913.79 × 76,989.25
  4. Step 4: Simplify right side
    189,439.89x = 21,858,308,337.19
  5. Step 5: Solve for x
    x = 21,858,308,337.19/189,439.89
  6. Step 6: Final answer
    x = 115,383.88

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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.