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Finding the Fourth Proportional to 412,196.90, 618,383.64 and 127,881.33

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Solution

The fourth proportional to 412,196.90, 618,383.64 and 127,881.33 is: 191,849.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,196.90 : 618,383.64 = 127,881.33 : x
  2. Step 2: Convert to fraction form
    412,196.90/618,383.64 = 127,881.33/x
  3. Step 3: Cross multiply
    412,196.90x = 618,383.64 × 127,881.33
  4. Step 4: Simplify right side
    412,196.90x = 79,079,722,333.44
  5. Step 5: Solve for x
    x = 79,079,722,333.44/412,196.90
  6. Step 6: Final answer
    x = 191,849.39

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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.