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Finding the Fourth Proportional to 204,428.66, 306,621.42 and 54,684.06

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Solution

The fourth proportional to 204,428.66, 306,621.42 and 54,684.06 is: 82,020.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,428.66 : 306,621.42 = 54,684.06 : x
  2. Step 2: Convert to fraction form
    204,428.66/306,621.42 = 54,684.06/x
  3. Step 3: Cross multiply
    204,428.66x = 306,621.42 × 54,684.06
  4. Step 4: Simplify right side
    204,428.66x = 16,767,304,128.57
  5. Step 5: Solve for x
    x = 16,767,304,128.57/204,428.66
  6. Step 6: Final answer
    x = 82,020.32

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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.