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Finding the Fourth Proportional to 135,000.20, 202,461.60 and 40,226.42

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Solution

The fourth proportional to 135,000.20, 202,461.60 and 40,226.42 is: 60,328.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,000.20 : 202,461.60 = 40,226.42 : x
  2. Step 2: Convert to fraction form
    135,000.20/202,461.60 = 40,226.42/x
  3. Step 3: Cross multiply
    135,000.20x = 202,461.60 × 40,226.42
  4. Step 4: Simplify right side
    135,000.20x = 8,144,305,355.47
  5. Step 5: Solve for x
    x = 8,144,305,355.47/135,000.20
  6. Step 6: Final answer
    x = 60,328.10

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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.