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Finding the Fourth Proportional to 225,907.97, 338,845.93 and 105,991.25

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Solution

The fourth proportional to 225,907.97, 338,845.93 and 105,991.25 is: 158,979.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,907.97 : 338,845.93 = 105,991.25 : x
  2. Step 2: Convert to fraction form
    225,907.97/338,845.93 = 105,991.25/x
  3. Step 3: Cross multiply
    225,907.97x = 338,845.93 × 105,991.25
  4. Step 4: Simplify right side
    225,907.97x = 35,914,701,718.90
  5. Step 5: Solve for x
    x = 35,914,701,718.90/225,907.97
  6. Step 6: Final answer
    x = 158,979.35

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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.