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Finding the Fourth Proportional to 189,164.18, 283,672.49 and 82,580.73

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Solution

The fourth proportional to 189,164.18, 283,672.49 and 82,580.73 is: 123,838.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,164.18 : 283,672.49 = 82,580.73 : x
  2. Step 2: Convert to fraction form
    189,164.18/283,672.49 = 82,580.73/x
  3. Step 3: Cross multiply
    189,164.18x = 283,672.49 × 82,580.73
  4. Step 4: Simplify right side
    189,164.18x = 23,425,880,892.21
  5. Step 5: Solve for x
    x = 23,425,880,892.21/189,164.18
  6. Step 6: Final answer
    x = 123,838.89

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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.