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Finding the Fourth Proportional to 264,728.90, 397,290.18 and 106,958.72

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Solution

The fourth proportional to 264,728.90, 397,290.18 and 106,958.72 is: 160,517.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,728.90 : 397,290.18 = 106,958.72 : x
  2. Step 2: Convert to fraction form
    264,728.90/397,290.18 = 106,958.72/x
  3. Step 3: Cross multiply
    264,728.90x = 397,290.18 × 106,958.72
  4. Step 4: Simplify right side
    264,728.90x = 42,493,649,121.37
  5. Step 5: Solve for x
    x = 42,493,649,121.37/264,728.90
  6. Step 6: Final answer
    x = 160,517.61

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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.