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Finding the Fourth Proportional to 200,627.77, 300,958.06 and 82,300.14

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Solution

The fourth proportional to 200,627.77, 300,958.06 and 82,300.14 is: 123,456.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,627.77 : 300,958.06 = 82,300.14 : x
  2. Step 2: Convert to fraction form
    200,627.77/300,958.06 = 82,300.14/x
  3. Step 3: Cross multiply
    200,627.77x = 300,958.06 × 82,300.14
  4. Step 4: Simplify right side
    200,627.77x = 24,768,890,472.13
  5. Step 5: Solve for x
    x = 24,768,890,472.13/200,627.77
  6. Step 6: Final answer
    x = 123,456.94

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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.