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Finding the Fourth Proportional to 189,033.64, 283,605.81 and 55,917.44

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Solution

The fourth proportional to 189,033.64, 283,605.81 and 55,917.44 is: 83,892.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,033.64 : 283,605.81 = 55,917.44 : x
  2. Step 2: Convert to fraction form
    189,033.64/283,605.81 = 55,917.44/x
  3. Step 3: Cross multiply
    189,033.64x = 283,605.81 × 55,917.44
  4. Step 4: Simplify right side
    189,033.64x = 15,858,510,864.33
  5. Step 5: Solve for x
    x = 15,858,510,864.33/189,033.64
  6. Step 6: Final answer
    x = 83,892.53

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Why These Related Problems?

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