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Finding the Fourth Proportional to 214,608.99, 321,964.77 and 64,850.78

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Solution

The fourth proportional to 214,608.99, 321,964.77 and 64,850.78 is: 97,291.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,608.99 : 321,964.77 = 64,850.78 : x
  2. Step 2: Convert to fraction form
    214,608.99/321,964.77 = 64,850.78/x
  3. Step 3: Cross multiply
    214,608.99x = 321,964.77 × 64,850.78
  4. Step 4: Simplify right side
    214,608.99x = 20,879,665,704.07
  5. Step 5: Solve for x
    x = 20,879,665,704.07/214,608.99
  6. Step 6: Final answer
    x = 97,291.66

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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.