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Finding the Fourth Proportional to 201,058.20, 301,757.40 and 82,814.40

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Solution

The fourth proportional to 201,058.20, 301,757.40 and 82,814.40 is: 124,291.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,058.20 : 301,757.40 = 82,814.40 : x
  2. Step 2: Convert to fraction form
    201,058.20/301,757.40 = 82,814.40/x
  3. Step 3: Cross multiply
    201,058.20x = 301,757.40 × 82,814.40
  4. Step 4: Simplify right side
    201,058.20x = 24,989,858,026.56
  5. Step 5: Solve for x
    x = 24,989,858,026.56/201,058.20
  6. Step 6: Final answer
    x = 124,291.66

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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.