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Finding the Fourth Proportional to 135,408.34, 186,861.22 and 74,977.68

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Solution

The fourth proportional to 135,408.34, 186,861.22 and 74,977.68 is: 103,467.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,408.34 : 186,861.22 = 74,977.68 : x
  2. Step 2: Convert to fraction form
    135,408.34/186,861.22 = 74,977.68/x
  3. Step 3: Cross multiply
    135,408.34x = 186,861.22 × 74,977.68
  4. Step 4: Simplify right side
    135,408.34x = 14,010,420,382.68
  5. Step 5: Solve for x
    x = 14,010,420,382.68/135,408.34
  6. Step 6: Final answer
    x = 103,467.93

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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.