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Finding the Fourth Proportional to 208,633.44, 312,811.89 and 75,496.38

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Solution

The fourth proportional to 208,633.44, 312,811.89 and 75,496.38 is: 113,194.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,633.44 : 312,811.89 = 75,496.38 : x
  2. Step 2: Convert to fraction form
    208,633.44/312,811.89 = 75,496.38/x
  3. Step 3: Cross multiply
    208,633.44x = 312,811.89 × 75,496.38
  4. Step 4: Simplify right side
    208,633.44x = 23,616,165,315.96
  5. Step 5: Solve for x
    x = 23,616,165,315.96/208,633.44
  6. Step 6: Final answer
    x = 113,194.54

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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.