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Finding the Fourth Proportional to 135,206.32, 186,577.17 and 73,940.42

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Solution

The fourth proportional to 135,206.32, 186,577.17 and 73,940.42 is: 102,033.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,206.32 : 186,577.17 = 73,940.42 : x
  2. Step 2: Convert to fraction form
    135,206.32/186,577.17 = 73,940.42/x
  3. Step 3: Cross multiply
    135,206.32x = 186,577.17 × 73,940.42
  4. Step 4: Simplify right side
    135,206.32x = 13,795,593,379.33
  5. Step 5: Solve for x
    x = 13,795,593,379.33/135,206.32
  6. Step 6: Final answer
    x = 102,033.64

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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.