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Finding the Fourth Proportional to 177,797.82, 266,696.46 and 81,724.26

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Solution

The fourth proportional to 177,797.82, 266,696.46 and 81,724.26 is: 122,586.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,797.82 : 266,696.46 = 81,724.26 : x
  2. Step 2: Convert to fraction form
    177,797.82/266,696.46 = 81,724.26/x
  3. Step 3: Cross multiply
    177,797.82x = 266,696.46 × 81,724.26
  4. Step 4: Simplify right side
    177,797.82x = 21,795,570,838.12
  5. Step 5: Solve for x
    x = 21,795,570,838.12/177,797.82
  6. Step 6: Final answer
    x = 122,586.27

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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.