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Finding the Fourth Proportional to 227,812.98, 314,375.61 and 125,836.82

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Solution

The fourth proportional to 227,812.98, 314,375.61 and 125,836.82 is: 173,651.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,812.98 : 314,375.61 = 125,836.82 : x
  2. Step 2: Convert to fraction form
    227,812.98/314,375.61 = 125,836.82/x
  3. Step 3: Cross multiply
    227,812.98x = 314,375.61 × 125,836.82
  4. Step 4: Simplify right side
    227,812.98x = 39,560,027,047.96
  5. Step 5: Solve for x
    x = 39,560,027,047.96/227,812.98
  6. Step 6: Final answer
    x = 173,651.33

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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.