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Finding the Fourth Proportional to 253,774, 350,219.60 and 140,596.75

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Solution

The fourth proportional to 253,774, 350,219.60 and 140,596.75 is: 194,029.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,774 : 350,219.60 = 140,596.75 : x
  2. Step 2: Convert to fraction form
    253,774/350,219.60 = 140,596.75/x
  3. Step 3: Cross multiply
    253,774x = 350,219.60 × 140,596.75
  4. Step 4: Simplify right side
    253,774x = 49,239,736,843.32
  5. Step 5: Solve for x
    x = 49,239,736,843.32/253,774
  6. Step 6: Final answer
    x = 194,029.87

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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.