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Finding the Fourth Proportional to 362,609.57, 543,832.34 and 137,889.86

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Solution

The fourth proportional to 362,609.57, 543,832.34 and 137,889.86 is: 206,803.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,609.57 : 543,832.34 = 137,889.86 : x
  2. Step 2: Convert to fraction form
    362,609.57/543,832.34 = 137,889.86/x
  3. Step 3: Cross multiply
    362,609.57x = 543,832.34 × 137,889.86
  4. Step 4: Simplify right side
    362,609.57x = 74,988,961,817.46
  5. Step 5: Solve for x
    x = 74,988,961,817.46/362,609.57
  6. Step 6: Final answer
    x = 206,803.59

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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.