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Finding the Fourth Proportional to 214,245.80, 321,367.02 and 64,485.44

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Solution

The fourth proportional to 214,245.80, 321,367.02 and 64,485.44 is: 96,727.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,245.80 : 321,367.02 = 64,485.44 : x
  2. Step 2: Convert to fraction form
    214,245.80/321,367.02 = 64,485.44/x
  3. Step 3: Cross multiply
    214,245.80x = 321,367.02 × 64,485.44
  4. Step 4: Simplify right side
    214,245.80x = 20,723,493,686.19
  5. Step 5: Solve for x
    x = 20,723,493,686.19/214,245.80
  6. Step 6: Final answer
    x = 96,727.65

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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.