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Finding the Fourth Proportional to 163,094, 244,676.16 and 50,771.84

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Solution

The fourth proportional to 163,094, 244,676.16 and 50,771.84 is: 76,168.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,094 : 244,676.16 = 50,771.84 : x
  2. Step 2: Convert to fraction form
    163,094/244,676.16 = 50,771.84/x
  3. Step 3: Cross multiply
    163,094x = 244,676.16 × 50,771.84
  4. Step 4: Simplify right side
    163,094x = 12,422,658,847.33
  5. Step 5: Solve for x
    x = 12,422,658,847.33/163,094
  6. Step 6: Final answer
    x = 76,168.71

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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.