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Finding the Fourth Proportional to 274,893.70, 412,351.44 and 130,764.90

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Solution

The fourth proportional to 274,893.70, 412,351.44 and 130,764.90 is: 196,152.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,893.70 : 412,351.44 = 130,764.90 : x
  2. Step 2: Convert to fraction form
    274,893.70/412,351.44 = 130,764.90/x
  3. Step 3: Cross multiply
    274,893.70x = 412,351.44 × 130,764.90
  4. Step 4: Simplify right side
    274,893.70x = 53,921,094,816.46
  5. Step 5: Solve for x
    x = 53,921,094,816.46/274,893.70
  6. Step 6: Final answer
    x = 196,152.53

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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.