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Finding the Fourth Proportional to 214,160.40, 321,059.52 and 135,100.80

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Solution

The fourth proportional to 214,160.40, 321,059.52 and 135,100.80 is: 202,536.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,160.40 : 321,059.52 = 135,100.80 : x
  2. Step 2: Convert to fraction form
    214,160.40/321,059.52 = 135,100.80/x
  3. Step 3: Cross multiply
    214,160.40x = 321,059.52 × 135,100.80
  4. Step 4: Simplify right side
    214,160.40x = 43,375,397,999.62
  5. Step 5: Solve for x
    x = 43,375,397,999.62/214,160.40
  6. Step 6: Final answer
    x = 202,536.97

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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.