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Finding the Fourth Proportional to 200,143.91, 300,216.17 and 50,384.23

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Solution

The fourth proportional to 200,143.91, 300,216.17 and 50,384.23 is: 75,576.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,143.91 : 300,216.17 = 50,384.23 : x
  2. Step 2: Convert to fraction form
    200,143.91/300,216.17 = 50,384.23/x
  3. Step 3: Cross multiply
    200,143.91x = 300,216.17 × 50,384.23
  4. Step 4: Simplify right side
    200,143.91x = 15,126,159,934.42
  5. Step 5: Solve for x
    x = 15,126,159,934.42/200,143.91
  6. Step 6: Final answer
    x = 75,576.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.