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Finding the Fourth Proportional to 236,200, 325,968.96 and 135,604.48

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Solution

The fourth proportional to 236,200, 325,968.96 and 135,604.48 is: 187,141.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,200 : 325,968.96 = 135,604.48 : x
  2. Step 2: Convert to fraction form
    236,200/325,968.96 = 135,604.48/x
  3. Step 3: Cross multiply
    236,200x = 325,968.96 × 135,604.48
  4. Step 4: Simplify right side
    236,200x = 44,202,851,316.94
  5. Step 5: Solve for x
    x = 44,202,851,316.94/236,200
  6. Step 6: Final answer
    x = 187,141.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.