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Finding the Fourth Proportional to 204,626.64, 282,428.30 and 137,519.76

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Solution

The fourth proportional to 204,626.64, 282,428.30 and 137,519.76 is: 189,806.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,626.64 : 282,428.30 = 137,519.76 : x
  2. Step 2: Convert to fraction form
    204,626.64/282,428.30 = 137,519.76/x
  3. Step 3: Cross multiply
    204,626.64x = 282,428.30 × 137,519.76
  4. Step 4: Simplify right side
    204,626.64x = 38,839,472,033.21
  5. Step 5: Solve for x
    x = 38,839,472,033.21/204,626.64
  6. Step 6: Final answer
    x = 189,806.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.