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Finding the Fourth Proportional to 275,104.47, 412,621.56 and 106,509.45

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Solution

The fourth proportional to 275,104.47, 412,621.56 and 106,509.45 is: 159,750.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,104.47 : 412,621.56 = 106,509.45 : x
  2. Step 2: Convert to fraction form
    275,104.47/412,621.56 = 106,509.45/x
  3. Step 3: Cross multiply
    275,104.47x = 412,621.56 × 106,509.45
  4. Step 4: Simplify right side
    275,104.47x = 43,948,095,413.74
  5. Step 5: Solve for x
    x = 43,948,095,413.74/275,104.47
  6. Step 6: Final answer
    x = 159,750.57

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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.