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Finding the Fourth Proportional to 204,955.33, 305,395.46 and 182,596.90

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Solution

The fourth proportional to 204,955.33, 305,395.46 and 182,596.90 is: 272,080.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,955.33 : 305,395.46 = 182,596.90 : x
  2. Step 2: Convert to fraction form
    204,955.33/305,395.46 = 182,596.90/x
  3. Step 3: Cross multiply
    204,955.33x = 305,395.46 × 182,596.90
  4. Step 4: Simplify right side
    204,955.33x = 55,764,264,270.07
  5. Step 5: Solve for x
    x = 55,764,264,270.07/204,955.33
  6. Step 6: Final answer
    x = 272,080.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.