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Finding the Fourth Proportional to 205,972.10, 308,958.15 and 87,647.30

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Solution

The fourth proportional to 205,972.10, 308,958.15 and 87,647.30 is: 131,470.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,972.10 : 308,958.15 = 87,647.30 : x
  2. Step 2: Convert to fraction form
    205,972.10/308,958.15 = 87,647.30/x
  3. Step 3: Cross multiply
    205,972.10x = 308,958.15 × 87,647.30
  4. Step 4: Simplify right side
    205,972.10x = 27,079,347,660.50
  5. Step 5: Solve for x
    x = 27,079,347,660.50/205,972.10
  6. Step 6: Final answer
    x = 131,470.95

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