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Finding the Fourth Proportional to 194,906.64, 268,965.72 and 110,031.60

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Solution

The fourth proportional to 194,906.64, 268,965.72 and 110,031.60 is: 151,840.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,906.64 : 268,965.72 = 110,031.60 : x
  2. Step 2: Convert to fraction form
    194,906.64/268,965.72 = 110,031.60/x
  3. Step 3: Cross multiply
    194,906.64x = 268,965.72 × 110,031.60
  4. Step 4: Simplify right side
    194,906.64x = 29,594,728,516.75
  5. Step 5: Solve for x
    x = 29,594,728,516.75/194,906.64
  6. Step 6: Final answer
    x = 151,840.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.