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Finding the Fourth Proportional to 307,969.80, 461,998.44 and 94,755.37

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Solution

The fourth proportional to 307,969.80, 461,998.44 and 94,755.37 is: 142,146.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,969.80 : 461,998.44 = 94,755.37 : x
  2. Step 2: Convert to fraction form
    307,969.80/461,998.44 = 94,755.37/x
  3. Step 3: Cross multiply
    307,969.80x = 461,998.44 × 94,755.37
  4. Step 4: Simplify right side
    307,969.80x = 43,776,833,121.62
  5. Step 5: Solve for x
    x = 43,776,833,121.62/307,969.80
  6. Step 6: Final answer
    x = 142,146.51

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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.