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Finding the Fourth Proportional to 191,961, 264,906.42 and 107,083.44

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Solution

The fourth proportional to 191,961, 264,906.42 and 107,083.44 is: 147,775.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,961 : 264,906.42 = 107,083.44 : x
  2. Step 2: Convert to fraction form
    191,961/264,906.42 = 107,083.44/x
  3. Step 3: Cross multiply
    191,961x = 264,906.42 × 107,083.44
  4. Step 4: Simplify right side
    191,961x = 28,367,090,731.68
  5. Step 5: Solve for x
    x = 28,367,090,731.68/191,961
  6. Step 6: Final answer
    x = 147,775.28

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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.