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Finding the Fourth Proportional to 136,906.40, 205,366.94 and 43,419.44

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Solution

The fourth proportional to 136,906.40, 205,366.94 and 43,419.44 is: 65,131.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,906.40 : 205,366.94 = 43,419.44 : x
  2. Step 2: Convert to fraction form
    136,906.40/205,366.94 = 43,419.44/x
  3. Step 3: Cross multiply
    136,906.40x = 205,366.94 × 43,419.44
  4. Step 4: Simplify right side
    136,906.40x = 8,916,917,529.31
  5. Step 5: Solve for x
    x = 8,916,917,529.31/136,906.40
  6. Step 6: Final answer
    x = 65,131.49

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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.