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Finding the Fourth Proportional to 137,548.44, 206,382.05 and 74,413.04

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Solution

The fourth proportional to 137,548.44, 206,382.05 and 74,413.04 is: 111,651.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,548.44 : 206,382.05 = 74,413.04 : x
  2. Step 2: Convert to fraction form
    137,548.44/206,382.05 = 74,413.04/x
  3. Step 3: Cross multiply
    137,548.44x = 206,382.05 × 74,413.04
  4. Step 4: Simplify right side
    137,548.44x = 15,357,515,741.93
  5. Step 5: Solve for x
    x = 15,357,515,741.93/137,548.44
  6. Step 6: Final answer
    x = 111,651.69

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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.