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Finding the Fourth Proportional to 135,296.46, 202,964.13 and 41,809.50

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Solution

The fourth proportional to 135,296.46, 202,964.13 and 41,809.50 is: 62,720.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,296.46 : 202,964.13 = 41,809.50 : x
  2. Step 2: Convert to fraction form
    135,296.46/202,964.13 = 41,809.50/x
  3. Step 3: Cross multiply
    135,296.46x = 202,964.13 × 41,809.50
  4. Step 4: Simplify right side
    135,296.46x = 8,485,828,793.24
  5. Step 5: Solve for x
    x = 8,485,828,793.24/135,296.46
  6. Step 6: Final answer
    x = 62,720.26

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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.