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Finding the Fourth Proportional to 214,682.20, 322,023.30 and 164,858.20

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Solution

The fourth proportional to 214,682.20, 322,023.30 and 164,858.20 is: 247,287.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,682.20 : 322,023.30 = 164,858.20 : x
  2. Step 2: Convert to fraction form
    214,682.20/322,023.30 = 164,858.20/x
  3. Step 3: Cross multiply
    214,682.20x = 322,023.30 × 164,858.20
  4. Step 4: Simplify right side
    214,682.20x = 53,088,181,596.06
  5. Step 5: Solve for x
    x = 53,088,181,596.06/214,682.20
  6. Step 6: Final answer
    x = 247,287.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.