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Finding the Fourth Proportional to 258,208.26, 356,395.07 and 145,067.46

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Solution

The fourth proportional to 258,208.26, 356,395.07 and 145,067.46 is: 200,231.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,208.26 : 356,395.07 = 145,067.46 : x
  2. Step 2: Convert to fraction form
    258,208.26/356,395.07 = 145,067.46/x
  3. Step 3: Cross multiply
    258,208.26x = 356,395.07 × 145,067.46
  4. Step 4: Simplify right side
    258,208.26x = 51,701,326,836.08
  5. Step 5: Solve for x
    x = 51,701,326,836.08/258,208.26
  6. Step 6: Final answer
    x = 200,231.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.