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Finding the Fourth Proportional to 227,021.81, 313,285.52 and 142,185.65

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Solution

The fourth proportional to 227,021.81, 313,285.52 and 142,185.65 is: 196,213.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,021.81 : 313,285.52 = 142,185.65 : x
  2. Step 2: Convert to fraction form
    227,021.81/313,285.52 = 142,185.65/x
  3. Step 3: Cross multiply
    227,021.81x = 313,285.52 × 142,185.65
  4. Step 4: Simplify right side
    227,021.81x = 44,544,704,085.82
  5. Step 5: Solve for x
    x = 44,544,704,085.82/227,021.81
  6. Step 6: Final answer
    x = 196,213.33

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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.