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Finding the Fourth Proportional to 253,819.74, 350,226.84 and 144,874.34

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Solution

The fourth proportional to 253,819.74, 350,226.84 and 144,874.34 is: 199,901.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,819.74 : 350,226.84 = 144,874.34 : x
  2. Step 2: Convert to fraction form
    253,819.74/350,226.84 = 144,874.34/x
  3. Step 3: Cross multiply
    253,819.74x = 350,226.84 × 144,874.34
  4. Step 4: Simplify right side
    253,819.74x = 50,738,880,544.15
  5. Step 5: Solve for x
    x = 50,738,880,544.15/253,819.74
  6. Step 6: Final answer
    x = 199,901.24

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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.