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Finding the Fourth Proportional to 362,616.30, 543,842.46 and 137,896.65

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Solution

The fourth proportional to 362,616.30, 543,842.46 and 137,896.65 is: 206,813.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,616.30 : 543,842.46 = 137,896.65 : x
  2. Step 2: Convert to fraction form
    362,616.30/543,842.46 = 137,896.65/x
  3. Step 3: Cross multiply
    362,616.30x = 543,842.46 × 137,896.65
  4. Step 4: Simplify right side
    362,616.30x = 74,994,053,361.76
  5. Step 5: Solve for x
    x = 74,994,053,361.76/362,616.30
  6. Step 6: Final answer
    x = 206,813.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.