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Finding the Fourth Proportional to 412,443, 618,761.16 and 128,118.96

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Solution

The fourth proportional to 412,443, 618,761.16 and 128,118.96 is: 192,208.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,443 : 618,761.16 = 128,118.96 : x
  2. Step 2: Convert to fraction form
    412,443/618,761.16 = 128,118.96/x
  3. Step 3: Cross multiply
    412,443x = 618,761.16 × 128,118.96
  4. Step 4: Simplify right side
    412,443x = 79,275,036,307.59
  5. Step 5: Solve for x
    x = 79,275,036,307.59/412,443
  6. Step 6: Final answer
    x = 192,208.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.