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Finding the Fourth Proportional to 227,992.68, 342,006.21 and 68,055.98

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Solution

The fourth proportional to 227,992.68, 342,006.21 and 68,055.98 is: 102,089.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,992.68 : 342,006.21 = 68,055.98 : x
  2. Step 2: Convert to fraction form
    227,992.68/342,006.21 = 68,055.98/x
  3. Step 3: Cross multiply
    227,992.68x = 342,006.21 × 68,055.98
  4. Step 4: Simplify right side
    227,992.68x = 23,275,568,642.65
  5. Step 5: Solve for x
    x = 23,275,568,642.65/227,992.68
  6. Step 6: Final answer
    x = 102,089.10

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Why These Related Problems?

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