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Finding the Fourth Proportional to 214,643.60, 321,965.40 and 205,542.80

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Solution

The fourth proportional to 214,643.60, 321,965.40 and 205,542.80 is: 308,314.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,643.60 : 321,965.40 = 205,542.80 : x
  2. Step 2: Convert to fraction form
    214,643.60/321,965.40 = 205,542.80/x
  3. Step 3: Cross multiply
    214,643.60x = 321,965.40 × 205,542.80
  4. Step 4: Simplify right side
    214,643.60x = 66,177,669,819.12
  5. Step 5: Solve for x
    x = 66,177,669,819.12/214,643.60
  6. Step 6: Final answer
    x = 308,314.20

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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.