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Finding the Fourth Proportional to 258,584.56, 356,844.36 and 145,408.12

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Solution

The fourth proportional to 258,584.56, 356,844.36 and 145,408.12 is: 200,661.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,584.56 : 356,844.36 = 145,408.12 : x
  2. Step 2: Convert to fraction form
    258,584.56/356,844.36 = 145,408.12/x
  3. Step 3: Cross multiply
    258,584.56x = 356,844.36 × 145,408.12
  4. Step 4: Simplify right side
    258,584.56x = 51,888,067,520.20
  5. Step 5: Solve for x
    x = 51,888,067,520.20/258,584.56
  6. Step 6: Final answer
    x = 200,661.89

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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.