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Finding the Fourth Proportional to 306,739.22, 460,102.09 and 82,099.64

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Solution

The fourth proportional to 306,739.22, 460,102.09 and 82,099.64 is: 123,147.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,739.22 : 460,102.09 = 82,099.64 : x
  2. Step 2: Convert to fraction form
    306,739.22/460,102.09 = 82,099.64/x
  3. Step 3: Cross multiply
    306,739.22x = 460,102.09 × 82,099.64
  4. Step 4: Simplify right side
    306,739.22x = 37,774,214,763.78
  5. Step 5: Solve for x
    x = 37,774,214,763.78/306,739.22
  6. Step 6: Final answer
    x = 123,147.65

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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.