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Finding the Fourth Proportional to 204,291.64, 306,051.10 and 115,608.80

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Solution

The fourth proportional to 204,291.64, 306,051.10 and 115,608.80 is: 173,194.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,291.64 : 306,051.10 = 115,608.80 : x
  2. Step 2: Convert to fraction form
    204,291.64/306,051.10 = 115,608.80/x
  3. Step 3: Cross multiply
    204,291.64x = 306,051.10 × 115,608.80
  4. Step 4: Simplify right side
    204,291.64x = 35,382,200,409.68
  5. Step 5: Solve for x
    x = 35,382,200,409.68/204,291.64
  6. Step 6: Final answer
    x = 173,194.56

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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.