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Finding the Fourth Proportional to 273,924.75, 410,952.75 and 86,936.25

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Solution

The fourth proportional to 273,924.75, 410,952.75 and 86,936.25 is: 130,425.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,924.75 : 410,952.75 = 86,936.25 : x
  2. Step 2: Convert to fraction form
    273,924.75/410,952.75 = 86,936.25/x
  3. Step 3: Cross multiply
    273,924.75x = 410,952.75 × 86,936.25
  4. Step 4: Simplify right side
    273,924.75x = 35,726,691,012.19
  5. Step 5: Solve for x
    x = 35,726,691,012.19/273,924.75
  6. Step 6: Final answer
    x = 130,425.20

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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.