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Finding the Fourth Proportional to 137,548.57, 206,382.24 and 74,413.16

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Solution

The fourth proportional to 137,548.57, 206,382.24 and 74,413.16 is: 111,651.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,548.57 : 206,382.24 = 74,413.16 : x
  2. Step 2: Convert to fraction form
    137,548.57/206,382.24 = 74,413.16/x
  3. Step 3: Cross multiply
    137,548.57x = 206,382.24 × 74,413.16
  4. Step 4: Simplify right side
    137,548.57x = 15,357,555,162.23
  5. Step 5: Solve for x
    x = 15,357,555,162.23/137,548.57
  6. Step 6: Final answer
    x = 111,651.87

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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.