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Finding the Fourth Proportional to 214,644.60, 321,966.90 and 135,847.80

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Solution

The fourth proportional to 214,644.60, 321,966.90 and 135,847.80 is: 203,771.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,644.60 : 321,966.90 = 135,847.80 : x
  2. Step 2: Convert to fraction form
    214,644.60/321,966.90 = 135,847.80/x
  3. Step 3: Cross multiply
    214,644.60x = 321,966.90 × 135,847.80
  4. Step 4: Simplify right side
    214,644.60x = 43,738,495,037.82
  5. Step 5: Solve for x
    x = 43,738,495,037.82/214,644.60
  6. Step 6: Final answer
    x = 203,771.70

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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.