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Finding the Fourth Proportional to 362,234.40, 543,334.07 and 137,577.30

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Solution

The fourth proportional to 362,234.40, 543,334.07 and 137,577.30 is: 206,359.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,234.40 : 543,334.07 = 137,577.30 : x
  2. Step 2: Convert to fraction form
    362,234.40/543,334.07 = 137,577.30/x
  3. Step 3: Cross multiply
    362,234.40x = 543,334.07 × 137,577.30
  4. Step 4: Simplify right side
    362,234.40x = 74,750,433,660.72
  5. Step 5: Solve for x
    x = 74,750,433,660.72/362,234.40
  6. Step 6: Final answer
    x = 206,359.29

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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.