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Finding the Fourth Proportional to 135,118.14, 202,706.20 and 40,355.80

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Solution

The fourth proportional to 135,118.14, 202,706.20 and 40,355.80 is: 60,542.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,118.14 : 202,706.20 = 40,355.80 : x
  2. Step 2: Convert to fraction form
    135,118.14/202,706.20 = 40,355.80/x
  3. Step 3: Cross multiply
    135,118.14x = 202,706.20 × 40,355.80
  4. Step 4: Simplify right side
    135,118.14x = 8,180,370,865.96
  5. Step 5: Solve for x
    x = 8,180,370,865.96/135,118.14
  6. Step 6: Final answer
    x = 60,542.36

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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.