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Finding the Fourth Proportional to 230,968.80, 346,453.20 and 164,046.60

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Solution

The fourth proportional to 230,968.80, 346,453.20 and 164,046.60 is: 246,069.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,968.80 : 346,453.20 = 164,046.60 : x
  2. Step 2: Convert to fraction form
    230,968.80/346,453.20 = 164,046.60/x
  3. Step 3: Cross multiply
    230,968.80x = 346,453.20 × 164,046.60
  4. Step 4: Simplify right side
    230,968.80x = 56,834,469,519.12
  5. Step 5: Solve for x
    x = 56,834,469,519.12/230,968.80
  6. Step 6: Final answer
    x = 246,069.90

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Why These Related Problems?

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