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Finding the Fourth Proportional to 213,203.88, 294,326.46 and 167,182.38

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Solution

The fourth proportional to 213,203.88, 294,326.46 and 167,182.38 is: 230,794.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,203.88 : 294,326.46 = 167,182.38 : x
  2. Step 2: Convert to fraction form
    213,203.88/294,326.46 = 167,182.38/x
  3. Step 3: Cross multiply
    213,203.88x = 294,326.46 × 167,182.38
  4. Step 4: Simplify right side
    213,203.88x = 49,206,198,079.77
  5. Step 5: Solve for x
    x = 49,206,198,079.77/213,203.88
  6. Step 6: Final answer
    x = 230,794.10

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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.