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Finding the Fourth Proportional to 136,922.20, 205,512.90 and 84,434.20

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Solution

The fourth proportional to 136,922.20, 205,512.90 and 84,434.20 is: 126,731.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,922.20 : 205,512.90 = 84,434.20 : x
  2. Step 2: Convert to fraction form
    136,922.20/205,512.90 = 84,434.20/x
  3. Step 3: Cross multiply
    136,922.20x = 205,512.90 × 84,434.20
  4. Step 4: Simplify right side
    136,922.20x = 17,352,317,301.18
  5. Step 5: Solve for x
    x = 17,352,317,301.18/136,922.20
  6. Step 6: Final answer
    x = 126,731.22

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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.