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Finding the Fourth Proportional to 135,296.25, 202,942.25 and 46,550.52

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Solution

The fourth proportional to 135,296.25, 202,942.25 and 46,550.52 is: 69,825.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,296.25 : 202,942.25 = 46,550.52 : x
  2. Step 2: Convert to fraction form
    135,296.25/202,942.25 = 46,550.52/x
  3. Step 3: Cross multiply
    135,296.25x = 202,942.25 × 46,550.52
  4. Step 4: Simplify right side
    135,296.25x = 9,447,067,034.72
  5. Step 5: Solve for x
    x = 9,447,067,034.72/135,296.25
  6. Step 6: Final answer
    x = 69,825.05

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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.