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Finding the Fourth Proportional to 231,728.45, 347,724.16 and 125,110.98

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Solution

The fourth proportional to 231,728.45, 347,724.16 and 125,110.98 is: 187,737.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,728.45 : 347,724.16 = 125,110.98 : x
  2. Step 2: Convert to fraction form
    231,728.45/347,724.16 = 125,110.98/x
  3. Step 3: Cross multiply
    231,728.45x = 347,724.16 × 125,110.98
  4. Step 4: Simplify right side
    231,728.45x = 43,504,110,114.50
  5. Step 5: Solve for x
    x = 43,504,110,114.50/231,728.45
  6. Step 6: Final answer
    x = 187,737.46

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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.