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Finding the Fourth Proportional to 141,198, 211,816.74 and 41,365.44

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Solution

The fourth proportional to 141,198, 211,816.74 and 41,365.44 is: 62,053.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,198 : 211,816.74 = 41,365.44 : x
  2. Step 2: Convert to fraction form
    141,198/211,816.74 = 41,365.44/x
  3. Step 3: Cross multiply
    141,198x = 211,816.74 × 41,365.44
  4. Step 4: Simplify right side
    141,198x = 8,761,892,649.47
  5. Step 5: Solve for x
    x = 8,761,892,649.47/141,198
  6. Step 6: Final answer
    x = 62,053.94

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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.