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Finding the Fourth Proportional to 339,002.25, 467,837.69 and 188,099.25

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Solution

The fourth proportional to 339,002.25, 467,837.69 and 188,099.25 is: 259,585.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,002.25 : 467,837.69 = 188,099.25 : x
  2. Step 2: Convert to fraction form
    339,002.25/467,837.69 = 188,099.25/x
  3. Step 3: Cross multiply
    339,002.25x = 467,837.69 × 188,099.25
  4. Step 4: Simplify right side
    339,002.25x = 87,999,917,670.24
  5. Step 5: Solve for x
    x = 87,999,917,670.24/339,002.25
  6. Step 6: Final answer
    x = 259,585.05

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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.