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Finding the Fourth Proportional to 213,704.60, 320,631.24 and 80,623.22

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Solution

The fourth proportional to 213,704.60, 320,631.24 and 80,623.22 is: 120,962.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,704.60 : 320,631.24 = 80,623.22 : x
  2. Step 2: Convert to fraction form
    213,704.60/320,631.24 = 80,623.22/x
  3. Step 3: Cross multiply
    213,704.60x = 320,631.24 × 80,623.22
  4. Step 4: Simplify right side
    213,704.60x = 25,850,323,001.39
  5. Step 5: Solve for x
    x = 25,850,323,001.39/213,704.60
  6. Step 6: Final answer
    x = 120,962.88

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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.