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Finding the Fourth Proportional to 200,786.43, 301,216.50 and 163,675.78

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Solution

The fourth proportional to 200,786.43, 301,216.50 and 163,675.78 is: 245,543.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,786.43 : 301,216.50 = 163,675.78 : x
  2. Step 2: Convert to fraction form
    200,786.43/301,216.50 = 163,675.78/x
  3. Step 3: Cross multiply
    200,786.43x = 301,216.50 × 163,675.78
  4. Step 4: Simplify right side
    200,786.43x = 49,301,845,586.37
  5. Step 5: Solve for x
    x = 49,301,845,586.37/200,786.43
  6. Step 6: Final answer
    x = 245,543.71

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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.