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Finding the Fourth Proportional to 253,922.88, 350,400.96 and 140,744.64

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Solution

The fourth proportional to 253,922.88, 350,400.96 and 140,744.64 is: 194,220.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,922.88 : 350,400.96 = 140,744.64 : x
  2. Step 2: Convert to fraction form
    253,922.88/350,400.96 = 140,744.64/x
  3. Step 3: Cross multiply
    253,922.88x = 350,400.96 × 140,744.64
  4. Step 4: Simplify right side
    253,922.88x = 49,317,056,970.85
  5. Step 5: Solve for x
    x = 49,317,056,970.85/253,922.88
  6. Step 6: Final answer
    x = 194,220.61

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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.