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Finding the Fourth Proportional to 227,164.50, 313,489.15 and 125,193.63

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Solution

The fourth proportional to 227,164.50, 313,489.15 and 125,193.63 is: 172,768.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,164.50 : 313,489.15 = 125,193.63 : x
  2. Step 2: Convert to fraction form
    227,164.50/313,489.15 = 125,193.63/x
  3. Step 3: Cross multiply
    227,164.50x = 313,489.15 × 125,193.63
  4. Step 4: Simplify right side
    227,164.50x = 39,246,844,028.15
  5. Step 5: Solve for x
    x = 39,246,844,028.15/227,164.50
  6. Step 6: Final answer
    x = 172,768.39

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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.