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Finding the Fourth Proportional to 213,758.94, 294,976.52 and 116,960.70

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Solution

The fourth proportional to 213,758.94, 294,976.52 and 116,960.70 is: 161,399.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,758.94 : 294,976.52 = 116,960.70 : x
  2. Step 2: Convert to fraction form
    213,758.94/294,976.52 = 116,960.70/x
  3. Step 3: Cross multiply
    213,758.94x = 294,976.52 × 116,960.70
  4. Step 4: Simplify right side
    213,758.94x = 34,500,660,262.76
  5. Step 5: Solve for x
    x = 34,500,660,262.76/213,758.94
  6. Step 6: Final answer
    x = 161,399.85

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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.