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Finding the Fourth Proportional to 200,827.80, 301,241.70 and 82,438.20

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Solution

The fourth proportional to 200,827.80, 301,241.70 and 82,438.20 is: 123,657.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,827.80 : 301,241.70 = 82,438.20 : x
  2. Step 2: Convert to fraction form
    200,827.80/301,241.70 = 82,438.20/x
  3. Step 3: Cross multiply
    200,827.80x = 301,241.70 × 82,438.20
  4. Step 4: Simplify right side
    200,827.80x = 24,833,823,512.94
  5. Step 5: Solve for x
    x = 24,833,823,512.94/200,827.80
  6. Step 6: Final answer
    x = 123,657.30

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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.