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Finding the Fourth Proportional to 253,676.50, 350,069.28 and 140,496.82

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Solution

The fourth proportional to 253,676.50, 350,069.28 and 140,496.82 is: 193,883.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,676.50 : 350,069.28 = 140,496.82 : x
  2. Step 2: Convert to fraction form
    253,676.50/350,069.28 = 140,496.82/x
  3. Step 3: Cross multiply
    253,676.50x = 350,069.28 × 140,496.82
  4. Step 4: Simplify right side
    253,676.50x = 49,183,620,619.69
  5. Step 5: Solve for x
    x = 49,183,620,619.69/253,676.50
  6. Step 6: Final answer
    x = 193,883.24

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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.