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Finding the Fourth Proportional to 200,504.37, 300,756.96 and 82,154.46

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Solution

The fourth proportional to 200,504.37, 300,756.96 and 82,154.46 is: 123,231.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,504.37 : 300,756.96 = 82,154.46 : x
  2. Step 2: Convert to fraction form
    200,504.37/300,756.96 = 82,154.46/x
  3. Step 3: Cross multiply
    200,504.37x = 300,756.96 × 82,154.46
  4. Step 4: Simplify right side
    200,504.37x = 24,708,525,640.04
  5. Step 5: Solve for x
    x = 24,708,525,640.04/200,504.37
  6. Step 6: Final answer
    x = 123,231.86

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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.