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Finding the Fourth Proportional to 137,755.64, 206,633.46 and 54,649.64

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Solution

The fourth proportional to 137,755.64, 206,633.46 and 54,649.64 is: 81,974.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,755.64 : 206,633.46 = 54,649.64 : x
  2. Step 2: Convert to fraction form
    137,755.64/206,633.46 = 54,649.64/x
  3. Step 3: Cross multiply
    137,755.64x = 206,633.46 × 54,649.64
  4. Step 4: Simplify right side
    137,755.64x = 11,292,444,200.95
  5. Step 5: Solve for x
    x = 11,292,444,200.95/137,755.64
  6. Step 6: Final answer
    x = 81,974.46

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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.