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Finding the Fourth Proportional to 238,674.24, 357,787.80 and 80,792.16

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Solution

The fourth proportional to 238,674.24, 357,787.80 and 80,792.16 is: 121,112.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,674.24 : 357,787.80 = 80,792.16 : x
  2. Step 2: Convert to fraction form
    238,674.24/357,787.80 = 80,792.16/x
  3. Step 3: Cross multiply
    238,674.24x = 357,787.80 × 80,792.16
  4. Step 4: Simplify right side
    238,674.24x = 28,906,449,183.65
  5. Step 5: Solve for x
    x = 28,906,449,183.65/238,674.24
  6. Step 6: Final answer
    x = 121,112.56

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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.