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Finding the Fourth Proportional to 135,104.85, 202,588.49 and 45,115.21

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Solution

The fourth proportional to 135,104.85, 202,588.49 and 45,115.21 is: 67,649.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,104.85 : 202,588.49 = 45,115.21 : x
  2. Step 2: Convert to fraction form
    135,104.85/202,588.49 = 45,115.21/x
  3. Step 3: Cross multiply
    135,104.85x = 202,588.49 × 45,115.21
  4. Step 4: Simplify right side
    135,104.85x = 9,139,821,537.89
  5. Step 5: Solve for x
    x = 9,139,821,537.89/135,104.85
  6. Step 6: Final answer
    x = 67,649.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.