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Finding the Fourth Proportional to 78,226.56, 107,994.60 and 60,413.76

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Solution

The fourth proportional to 78,226.56, 107,994.60 and 60,413.76 is: 83,403.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,226.56 : 107,994.60 = 60,413.76 : x
  2. Step 2: Convert to fraction form
    78,226.56/107,994.60 = 60,413.76/x
  3. Step 3: Cross multiply
    78,226.56x = 107,994.60 × 60,413.76
  4. Step 4: Simplify right side
    78,226.56x = 6,524,359,845.70
  5. Step 5: Solve for x
    x = 6,524,359,845.70/78,226.56
  6. Step 6: Final answer
    x = 83,403.38

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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.