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Finding the Fourth Proportional to 205,966.80, 308,431.80 and 196,635.60

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Solution

The fourth proportional to 205,966.80, 308,431.80 and 196,635.60 is: 294,458.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,966.80 : 308,431.80 = 196,635.60 : x
  2. Step 2: Convert to fraction form
    205,966.80/308,431.80 = 196,635.60/x
  3. Step 3: Cross multiply
    205,966.80x = 308,431.80 × 196,635.60
  4. Step 4: Simplify right side
    205,966.80x = 60,648,672,052.08
  5. Step 5: Solve for x
    x = 60,648,672,052.08/205,966.80
  6. Step 6: Final answer
    x = 294,458.49

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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.