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Finding the Fourth Proportional to 195,668, 270,021.84 and 106,244

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Solution

The fourth proportional to 195,668, 270,021.84 and 106,244 is: 146,616.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,668 : 270,021.84 = 106,244 : x
  2. Step 2: Convert to fraction form
    195,668/270,021.84 = 106,244/x
  3. Step 3: Cross multiply
    195,668x = 270,021.84 × 106,244
  4. Step 4: Simplify right side
    195,668x = 28,688,200,368.96
  5. Step 5: Solve for x
    x = 28,688,200,368.96/195,668
  6. Step 6: Final answer
    x = 146,616.72

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