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Finding the Fourth Proportional to 208,096.30, 312,025.22 and 63,964.59

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Solution

The fourth proportional to 208,096.30, 312,025.22 and 63,964.59 is: 95,910.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,096.30 : 312,025.22 = 63,964.59 : x
  2. Step 2: Convert to fraction form
    208,096.30/312,025.22 = 63,964.59/x
  3. Step 3: Cross multiply
    208,096.30x = 312,025.22 × 63,964.59
  4. Step 4: Simplify right side
    208,096.30x = 19,958,564,336.73
  5. Step 5: Solve for x
    x = 19,958,564,336.73/208,096.30
  6. Step 6: Final answer
    x = 95,910.23

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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.