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Finding the Fourth Proportional to 250,541.44, 345,763.20 and 165,509.44

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Solution

The fourth proportional to 250,541.44, 345,763.20 and 165,509.44 is: 228,413.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,541.44 : 345,763.20 = 165,509.44 : x
  2. Step 2: Convert to fraction form
    250,541.44/345,763.20 = 165,509.44/x
  3. Step 3: Cross multiply
    250,541.44x = 345,763.20 × 165,509.44
  4. Step 4: Simplify right side
    250,541.44x = 57,227,073,604.61
  5. Step 5: Solve for x
    x = 57,227,073,604.61/250,541.44
  6. Step 6: Final answer
    x = 228,413.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.