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Finding the Fourth Proportional to 106,712.78, 160,071.90 and 50,539.68

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Solution

The fourth proportional to 106,712.78, 160,071.90 and 50,539.68 is: 75,810.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,712.78 : 160,071.90 = 50,539.68 : x
  2. Step 2: Convert to fraction form
    106,712.78/160,071.90 = 50,539.68/x
  3. Step 3: Cross multiply
    106,712.78x = 160,071.90 × 50,539.68
  4. Step 4: Simplify right side
    106,712.78x = 8,089,982,413.47
  5. Step 5: Solve for x
    x = 8,089,982,413.47/106,712.78
  6. Step 6: Final answer
    x = 75,810.81

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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.