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Finding the Fourth Proportional to 208,779.38, 288,190.26 and 123,896.44

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Solution

The fourth proportional to 208,779.38, 288,190.26 and 123,896.44 is: 171,021.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,779.38 : 288,190.26 = 123,896.44 : x
  2. Step 2: Convert to fraction form
    208,779.38/288,190.26 = 123,896.44/x
  3. Step 3: Cross multiply
    208,779.38x = 288,190.26 × 123,896.44
  4. Step 4: Simplify right side
    208,779.38x = 35,705,747,256.67
  5. Step 5: Solve for x
    x = 35,705,747,256.67/208,779.38
  6. Step 6: Final answer
    x = 171,021.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.