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Finding the Fourth Proportional to 72,245.40, 108,309.78 and 66,413.40

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Solution

The fourth proportional to 72,245.40, 108,309.78 and 66,413.40 is: 99,566.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,245.40 : 108,309.78 = 66,413.40 : x
  2. Step 2: Convert to fraction form
    72,245.40/108,309.78 = 66,413.40/x
  3. Step 3: Cross multiply
    72,245.40x = 108,309.78 × 66,413.40
  4. Step 4: Simplify right side
    72,245.40x = 7,193,220,743.05
  5. Step 5: Solve for x
    x = 7,193,220,743.05/72,245.40
  6. Step 6: Final answer
    x = 99,566.49

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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.