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Finding the Fourth Proportional to 213,205.38, 294,328.53 and 167,183.88

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Solution

The fourth proportional to 213,205.38, 294,328.53 and 167,183.88 is: 230,796.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,205.38 : 294,328.53 = 167,183.88 : x
  2. Step 2: Convert to fraction form
    213,205.38/294,328.53 = 167,183.88/x
  3. Step 3: Cross multiply
    213,205.38x = 294,328.53 × 167,183.88
  4. Step 4: Simplify right side
    213,205.38x = 49,206,985,640.10
  5. Step 5: Solve for x
    x = 49,206,985,640.10/213,205.38
  6. Step 6: Final answer
    x = 230,796.17

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Why These Related Problems?

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