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Finding the Fourth Proportional to 204,673.80, 306,989.34 and 54,930.12

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Solution

The fourth proportional to 204,673.80, 306,989.34 and 54,930.12 is: 82,389.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,673.80 : 306,989.34 = 54,930.12 : x
  2. Step 2: Convert to fraction form
    204,673.80/306,989.34 = 54,930.12/x
  3. Step 3: Cross multiply
    204,673.80x = 306,989.34 × 54,930.12
  4. Step 4: Simplify right side
    204,673.80x = 16,862,961,284.92
  5. Step 5: Solve for x
    x = 16,862,961,284.92/204,673.80
  6. Step 6: Final answer
    x = 82,389.45

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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.