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Finding the Fourth Proportional to 213,504, 294,635.52 and 119,296

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Solution

The fourth proportional to 213,504, 294,635.52 and 119,296 is: 164,628.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,504 : 294,635.52 = 119,296 : x
  2. Step 2: Convert to fraction form
    213,504/294,635.52 = 119,296/x
  3. Step 3: Cross multiply
    213,504x = 294,635.52 × 119,296
  4. Step 4: Simplify right side
    213,504x = 35,148,838,993.92
  5. Step 5: Solve for x
    x = 35,148,838,993.92/213,504
  6. Step 6: Final answer
    x = 164,628.48

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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.