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Finding the Fourth Proportional to 227,958.78, 314,583.50 and 125,984.22

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Solution

The fourth proportional to 227,958.78, 314,583.50 and 125,984.22 is: 173,858.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,958.78 : 314,583.50 = 125,984.22 : x
  2. Step 2: Convert to fraction form
    227,958.78/314,583.50 = 125,984.22/x
  3. Step 3: Cross multiply
    227,958.78x = 314,583.50 × 125,984.22
  4. Step 4: Simplify right side
    227,958.78x = 39,632,556,872.37
  5. Step 5: Solve for x
    x = 39,632,556,872.37/227,958.78
  6. Step 6: Final answer
    x = 173,858.44

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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.