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Finding the Fourth Proportional to 195,902.03, 293,853.38 and 53,749.26

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Solution

The fourth proportional to 195,902.03, 293,853.38 and 53,749.26 is: 80,623.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,902.03 : 293,853.38 = 53,749.26 : x
  2. Step 2: Convert to fraction form
    195,902.03/293,853.38 = 53,749.26/x
  3. Step 3: Cross multiply
    195,902.03x = 293,853.38 × 53,749.26
  4. Step 4: Simplify right side
    195,902.03x = 15,794,401,454.75
  5. Step 5: Solve for x
    x = 15,794,401,454.75/195,902.03
  6. Step 6: Final answer
    x = 80,623.98

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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.