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Finding the Fourth Proportional to 204,476.65, 306,719.06 and 54,716.69

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Solution

The fourth proportional to 204,476.65, 306,719.06 and 54,716.69 is: 82,076.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,476.65 : 306,719.06 = 54,716.69 : x
  2. Step 2: Convert to fraction form
    204,476.65/306,719.06 = 54,716.69/x
  3. Step 3: Cross multiply
    204,476.65x = 306,719.06 × 54,716.69
  4. Step 4: Simplify right side
    204,476.65x = 16,782,652,216.33
  5. Step 5: Solve for x
    x = 16,782,652,216.33/204,476.65
  6. Step 6: Final answer
    x = 82,076.13

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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.