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Finding the Fourth Proportional to 205,100.58, 307,649.49 and 110,375.33

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Solution

The fourth proportional to 205,100.58, 307,649.49 and 110,375.33 is: 165,562.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,100.58 : 307,649.49 = 110,375.33 : x
  2. Step 2: Convert to fraction form
    205,100.58/307,649.49 = 110,375.33/x
  3. Step 3: Cross multiply
    205,100.58x = 307,649.49 × 110,375.33
  4. Step 4: Simplify right side
    205,100.58x = 33,956,913,983.08
  5. Step 5: Solve for x
    x = 33,956,913,983.08/205,100.58
  6. Step 6: Final answer
    x = 165,562.25

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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.