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Finding the Fourth Proportional to 229,952.85, 344,946.47 and 61,469.31

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Solution

The fourth proportional to 229,952.85, 344,946.47 and 61,469.31 is: 92,208.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,952.85 : 344,946.47 = 61,469.31 : x
  2. Step 2: Convert to fraction form
    229,952.85/344,946.47 = 61,469.31/x
  3. Step 3: Cross multiply
    229,952.85x = 344,946.47 × 61,469.31
  4. Step 4: Simplify right side
    229,952.85x = 21,203,621,190.49
  5. Step 5: Solve for x
    x = 21,203,621,190.49/229,952.85
  6. Step 6: Final answer
    x = 92,208.56

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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.