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Finding the Fourth Proportional to 135,464.68, 203,211.42 and 41,977.72

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Solution

The fourth proportional to 135,464.68, 203,211.42 and 41,977.72 is: 62,971.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,464.68 : 203,211.42 = 41,977.72 : x
  2. Step 2: Convert to fraction form
    135,464.68/203,211.42 = 41,977.72/x
  3. Step 3: Cross multiply
    135,464.68x = 203,211.42 × 41,977.72
  4. Step 4: Simplify right side
    135,464.68x = 8,530,352,089.56
  5. Step 5: Solve for x
    x = 8,530,352,089.56/135,464.68
  6. Step 6: Final answer
    x = 62,971.04

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Why These Related Problems?

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