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Finding the Fourth Proportional to 230,146.20, 317,057.22 and 219,516.84

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Solution

The fourth proportional to 230,146.20, 317,057.22 and 219,516.84 is: 302,413.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,146.20 : 317,057.22 = 219,516.84 : x
  2. Step 2: Convert to fraction form
    230,146.20/317,057.22 = 219,516.84/x
  3. Step 3: Cross multiply
    230,146.20x = 317,057.22 × 219,516.84
  4. Step 4: Simplify right side
    230,146.20x = 69,599,399,033.58
  5. Step 5: Solve for x
    x = 69,599,399,033.58/230,146.20
  6. Step 6: Final answer
    x = 302,413.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.