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Finding the Fourth Proportional to 196,378.53, 294,293.22 and 106,226.65

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Solution

The fourth proportional to 196,378.53, 294,293.22 and 106,226.65 is: 159,191.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,378.53 : 294,293.22 = 106,226.65 : x
  2. Step 2: Convert to fraction form
    196,378.53/294,293.22 = 106,226.65/x
  3. Step 3: Cross multiply
    196,378.53x = 294,293.22 × 106,226.65
  4. Step 4: Simplify right side
    196,378.53x = 31,261,782,878.31
  5. Step 5: Solve for x
    x = 31,261,782,878.31/196,378.53
  6. Step 6: Final answer
    x = 159,191.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.