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Finding the Fourth Proportional to 214,321.14, 321,493.86 and 64,582.11

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Solution

The fourth proportional to 214,321.14, 321,493.86 and 64,582.11 is: 96,876.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,321.14 : 321,493.86 = 64,582.11 : x
  2. Step 2: Convert to fraction form
    214,321.14/321,493.86 = 64,582.11/x
  3. Step 3: Cross multiply
    214,321.14x = 321,493.86 × 64,582.11
  4. Step 4: Simplify right side
    214,321.14x = 20,762,751,830.84
  5. Step 5: Solve for x
    x = 20,762,751,830.84/214,321.14
  6. Step 6: Final answer
    x = 96,876.83

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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.