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Finding the Fourth Proportional to 200,682.65, 300,433.48 and 133,957.28

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Solution

The fourth proportional to 200,682.65, 300,433.48 and 133,957.28 is: 200,541.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,682.65 : 300,433.48 = 133,957.28 : x
  2. Step 2: Convert to fraction form
    200,682.65/300,433.48 = 133,957.28/x
  3. Step 3: Cross multiply
    200,682.65x = 300,433.48 × 133,957.28
  4. Step 4: Simplify right side
    200,682.65x = 40,245,252,217.92
  5. Step 5: Solve for x
    x = 40,245,252,217.92/200,682.65
  6. Step 6: Final answer
    x = 200,541.76

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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.