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Finding the Fourth Proportional to 264,168, 396,255.24 and 97,956

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Solution

The fourth proportional to 264,168, 396,255.24 and 97,956 is: 146,935.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,168 : 396,255.24 = 97,956 : x
  2. Step 2: Convert to fraction form
    264,168/396,255.24 = 97,956/x
  3. Step 3: Cross multiply
    264,168x = 396,255.24 × 97,956
  4. Step 4: Simplify right side
    264,168x = 38,815,578,289.44
  5. Step 5: Solve for x
    x = 38,815,578,289.44/264,168
  6. Step 6: Final answer
    x = 146,935.20

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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.