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Finding the Fourth Proportional to 217,149.30, 325,519.83 and 111,940.02

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Solution

The fourth proportional to 217,149.30, 325,519.83 and 111,940.02 is: 167,804.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,149.30 : 325,519.83 = 111,940.02 : x
  2. Step 2: Convert to fraction form
    217,149.30/325,519.83 = 111,940.02/x
  3. Step 3: Cross multiply
    217,149.30x = 325,519.83 × 111,940.02
  4. Step 4: Simplify right side
    217,149.30x = 36,438,696,280.60
  5. Step 5: Solve for x
    x = 36,438,696,280.60/217,149.30
  6. Step 6: Final answer
    x = 167,804.81

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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.