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Finding the Fourth Proportional to 265,942.40, 366,993.23 and 145,083.65

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Solution

The fourth proportional to 265,942.40, 366,993.23 and 145,083.65 is: 200,211.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,942.40 : 366,993.23 = 145,083.65 : x
  2. Step 2: Convert to fraction form
    265,942.40/366,993.23 = 145,083.65/x
  3. Step 3: Cross multiply
    265,942.40x = 366,993.23 × 145,083.65
  4. Step 4: Simplify right side
    265,942.40x = 53,244,717,525.75
  5. Step 5: Solve for x
    x = 53,244,717,525.75/265,942.40
  6. Step 6: Final answer
    x = 200,211.46

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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.