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Finding the Fourth Proportional to 213,596.29, 294,764.39 and 116,800.57

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Solution

The fourth proportional to 213,596.29, 294,764.39 and 116,800.57 is: 161,185.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,596.29 : 294,764.39 = 116,800.57 : x
  2. Step 2: Convert to fraction form
    213,596.29/294,764.39 = 116,800.57/x
  3. Step 3: Cross multiply
    213,596.29x = 294,764.39 × 116,800.57
  4. Step 4: Simplify right side
    213,596.29x = 34,428,648,183.70
  5. Step 5: Solve for x
    x = 34,428,648,183.70/213,596.29
  6. Step 6: Final answer
    x = 161,185.61

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1.5x scale

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.