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Finding the Fourth Proportional to 201,350.80, 302,026.20 and 82,961.20

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Solution

The fourth proportional to 201,350.80, 302,026.20 and 82,961.20 is: 124,441.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,350.80 : 302,026.20 = 82,961.20 : x
  2. Step 2: Convert to fraction form
    201,350.80/302,026.20 = 82,961.20/x
  3. Step 3: Cross multiply
    201,350.80x = 302,026.20 × 82,961.20
  4. Step 4: Simplify right side
    201,350.80x = 25,056,455,983.44
  5. Step 5: Solve for x
    x = 25,056,455,983.44/201,350.80
  6. Step 6: Final answer
    x = 124,441.80

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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.