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Finding the Fourth Proportional to 208,546.30, 312,819.45 and 119,972.80

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Solution

The fourth proportional to 208,546.30, 312,819.45 and 119,972.80 is: 179,959.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,546.30 : 312,819.45 = 119,972.80 : x
  2. Step 2: Convert to fraction form
    208,546.30/312,819.45 = 119,972.80/x
  3. Step 3: Cross multiply
    208,546.30x = 312,819.45 × 119,972.80
  4. Step 4: Simplify right side
    208,546.30x = 37,529,825,310.96
  5. Step 5: Solve for x
    x = 37,529,825,310.96/208,546.30
  6. Step 6: Final answer
    x = 179,959.20

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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.