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Finding the Fourth Proportional to 135,206.66, 186,577.84 and 74,773.78

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Solution

The fourth proportional to 135,206.66, 186,577.84 and 74,773.78 is: 103,183.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,206.66 : 186,577.84 = 74,773.78 : x
  2. Step 2: Convert to fraction form
    135,206.66/186,577.84 = 74,773.78/x
  3. Step 3: Cross multiply
    135,206.66x = 186,577.84 × 74,773.78
  4. Step 4: Simplify right side
    135,206.66x = 13,951,130,361.04
  5. Step 5: Solve for x
    x = 13,951,130,361.04/135,206.66
  6. Step 6: Final answer
    x = 103,183.75

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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.