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Finding the Fourth Proportional to 301,625.29, 416,138.70 and 192,793.29

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Solution

The fourth proportional to 301,625.29, 416,138.70 and 192,793.29 is: 265,988.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,625.29 : 416,138.70 = 192,793.29 : x
  2. Step 2: Convert to fraction form
    301,625.29/416,138.70 = 192,793.29/x
  3. Step 3: Cross multiply
    301,625.29x = 416,138.70 × 192,793.29
  4. Step 4: Simplify right side
    301,625.29x = 80,228,749,069.32
  5. Step 5: Solve for x
    x = 80,228,749,069.32/301,625.29
  6. Step 6: Final answer
    x = 265,988.14

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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.