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Finding the Fourth Proportional to 258,206.25, 356,358.04 and 145,029

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Solution

The fourth proportional to 258,206.25, 356,358.04 and 145,029 is: 200,158.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,206.25 : 356,358.04 = 145,029 : x
  2. Step 2: Convert to fraction form
    258,206.25/356,358.04 = 145,029/x
  3. Step 3: Cross multiply
    258,206.25x = 356,358.04 × 145,029
  4. Step 4: Simplify right side
    258,206.25x = 51,682,250,183.16
  5. Step 5: Solve for x
    x = 51,682,250,183.16/258,206.25
  6. Step 6: Final answer
    x = 200,158.79

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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.