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Finding the Fourth Proportional to 227,554.96, 341,055.24 and 161,014

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Solution

The fourth proportional to 227,554.96, 341,055.24 and 161,014 is: 241,324.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,554.96 : 341,055.24 = 161,014 : x
  2. Step 2: Convert to fraction form
    227,554.96/341,055.24 = 161,014/x
  3. Step 3: Cross multiply
    227,554.96x = 341,055.24 × 161,014
  4. Step 4: Simplify right side
    227,554.96x = 54,914,668,413.36
  5. Step 5: Solve for x
    x = 54,914,668,413.36/227,554.96
  6. Step 6: Final answer
    x = 241,324.86

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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.