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Finding the Fourth Proportional to 301,135.26, 415,567.27 and 165,170.33

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Solution

The fourth proportional to 301,135.26, 415,567.27 and 165,170.33 is: 227,935.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,135.26 : 415,567.27 = 165,170.33 : x
  2. Step 2: Convert to fraction form
    301,135.26/415,567.27 = 165,170.33/x
  3. Step 3: Cross multiply
    301,135.26x = 415,567.27 × 165,170.33
  4. Step 4: Simplify right side
    301,135.26x = 68,639,383,123.10
  5. Step 5: Solve for x
    x = 68,639,383,123.10/301,135.26
  6. Step 6: Final answer
    x = 227,935.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.