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Finding the Fourth Proportional to 179,410.80, 268,885.80 and 137,650.80

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Solution

The fourth proportional to 179,410.80, 268,885.80 and 137,650.80 is: 206,299.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,410.80 : 268,885.80 = 137,650.80 : x
  2. Step 2: Convert to fraction form
    179,410.80/268,885.80 = 137,650.80/x
  3. Step 3: Cross multiply
    179,410.80x = 268,885.80 × 137,650.80
  4. Step 4: Simplify right side
    179,410.80x = 37,012,345,478.64
  5. Step 5: Solve for x
    x = 37,012,345,478.64/179,410.80
  6. Step 6: Final answer
    x = 206,299.43

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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.