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Finding the Fourth Proportional to 362,596.26, 543,812.37 and 137,876.55

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Solution

The fourth proportional to 362,596.26, 543,812.37 and 137,876.55 is: 206,783.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,596.26 : 543,812.37 = 137,876.55 : x
  2. Step 2: Convert to fraction form
    362,596.26/543,812.37 = 137,876.55/x
  3. Step 3: Cross multiply
    362,596.26x = 543,812.37 × 137,876.55
  4. Step 4: Simplify right side
    362,596.26x = 74,978,973,422.92
  5. Step 5: Solve for x
    x = 74,978,973,422.92/362,596.26
  6. Step 6: Final answer
    x = 206,783.64

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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.