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Finding the Fourth Proportional to 258,206.08, 356,286.72 and 145,022.08

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Solution

The fourth proportional to 258,206.08, 356,286.72 and 145,022.08 is: 200,109.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,206.08 : 356,286.72 = 145,022.08 : x
  2. Step 2: Convert to fraction form
    258,206.08/356,286.72 = 145,022.08/x
  3. Step 3: Cross multiply
    258,206.08x = 356,286.72 × 145,022.08
  4. Step 4: Simplify right side
    258,206.08x = 51,669,441,210.78
  5. Step 5: Solve for x
    x = 51,669,441,210.78/258,206.08
  6. Step 6: Final answer
    x = 200,109.31

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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.