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Finding the Fourth Proportional to 265,422.20, 397,161.30 and 195,438.20

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Solution

The fourth proportional to 265,422.20, 397,161.30 and 195,438.20 is: 292,441.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,422.20 : 397,161.30 = 195,438.20 : x
  2. Step 2: Convert to fraction form
    265,422.20/397,161.30 = 195,438.20/x
  3. Step 3: Cross multiply
    265,422.20x = 397,161.30 × 195,438.20
  4. Step 4: Simplify right side
    265,422.20x = 77,620,489,581.66
  5. Step 5: Solve for x
    x = 77,620,489,581.66/265,422.20
  6. Step 6: Final answer
    x = 292,441.59

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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.