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Finding the Fourth Proportional to 74,189.37, 102,381.17 and 40,198.78

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Solution

The fourth proportional to 74,189.37, 102,381.17 and 40,198.78 is: 55,474.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,189.37 : 102,381.17 = 40,198.78 : x
  2. Step 2: Convert to fraction form
    74,189.37/102,381.17 = 40,198.78/x
  3. Step 3: Cross multiply
    74,189.37x = 102,381.17 × 40,198.78
  4. Step 4: Simplify right side
    74,189.37x = 4,115,598,055.96
  5. Step 5: Solve for x
    x = 4,115,598,055.96/74,189.37
  6. Step 6: Final answer
    x = 55,474.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.