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Finding the Fourth Proportional to 137,015.93, 205,499.63 and 37,183.89

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Solution

The fourth proportional to 137,015.93, 205,499.63 and 37,183.89 is: 55,769.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,015.93 : 205,499.63 = 37,183.89 : x
  2. Step 2: Convert to fraction form
    137,015.93/205,499.63 = 37,183.89/x
  3. Step 3: Cross multiply
    137,015.93x = 205,499.63 × 37,183.89
  4. Step 4: Simplify right side
    137,015.93x = 7,641,274,766.64
  5. Step 5: Solve for x
    x = 7,641,274,766.64/137,015.93
  6. Step 6: Final answer
    x = 55,769.24

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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.