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Finding the Fourth Proportional to 362,549.30, 543,824.15 and 137,857.86

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Solution

The fourth proportional to 362,549.30, 543,824.15 and 137,857.86 is: 206,786.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,549.30 : 543,824.15 = 137,857.86 : x
  2. Step 2: Convert to fraction form
    362,549.30/543,824.15 = 137,857.86/x
  3. Step 3: Cross multiply
    362,549.30x = 543,824.15 × 137,857.86
  4. Step 4: Simplify right side
    362,549.30x = 74,970,432,846.03
  5. Step 5: Solve for x
    x = 74,970,432,846.03/362,549.30
  6. Step 6: Final answer
    x = 206,786.87

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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.