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Finding the Fourth Proportional to 189,353.94, 284,361.57 and 174,540.66

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Solution

The fourth proportional to 189,353.94, 284,361.57 and 174,540.66 is: 262,115.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,353.94 : 284,361.57 = 174,540.66 : x
  2. Step 2: Convert to fraction form
    189,353.94/284,361.57 = 174,540.66/x
  3. Step 3: Cross multiply
    189,353.94x = 284,361.57 × 174,540.66
  4. Step 4: Simplify right side
    189,353.94x = 49,632,656,106.44
  5. Step 5: Solve for x
    x = 49,632,656,106.44/189,353.94
  6. Step 6: Final answer
    x = 262,115.78

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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.