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Finding the Fourth Proportional to 204,059.72, 306,141.46 and 119,891

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Solution

The fourth proportional to 204,059.72, 306,141.46 and 119,891 is: 179,866.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,059.72 : 306,141.46 = 119,891 : x
  2. Step 2: Convert to fraction form
    204,059.72/306,141.46 = 119,891/x
  3. Step 3: Cross multiply
    204,059.72x = 306,141.46 × 119,891
  4. Step 4: Simplify right side
    204,059.72x = 36,703,605,780.86
  5. Step 5: Solve for x
    x = 36,703,605,780.86/204,059.72
  6. Step 6: Final answer
    x = 179,866.98

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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.