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Finding the Fourth Proportional to 204,114, 306,310.30 and 70,992.92

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Solution

The fourth proportional to 204,114, 306,310.30 and 70,992.92 is: 106,537.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,114 : 306,310.30 = 70,992.92 : x
  2. Step 2: Convert to fraction form
    204,114/306,310.30 = 70,992.92/x
  3. Step 3: Cross multiply
    204,114x = 306,310.30 × 70,992.92
  4. Step 4: Simplify right side
    204,114x = 21,745,862,623.08
  5. Step 5: Solve for x
    x = 21,745,862,623.08/204,114
  6. Step 6: Final answer
    x = 106,537.83

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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.