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Finding the Fourth Proportional to 229,791.87, 344,611.26 and 96,647.31

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Solution

The fourth proportional to 229,791.87, 344,611.26 and 96,647.31 is: 144,938.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,791.87 : 344,611.26 = 96,647.31 : x
  2. Step 2: Convert to fraction form
    229,791.87/344,611.26 = 96,647.31/x
  3. Step 3: Cross multiply
    229,791.87x = 344,611.26 × 96,647.31
  4. Step 4: Simplify right side
    229,791.87x = 33,305,751,274.71
  5. Step 5: Solve for x
    x = 33,305,751,274.71/229,791.87
  6. Step 6: Final answer
    x = 144,938.77

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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.