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Finding the Fourth Proportional to 270,704.70, 373,567.96 and 149,843.40

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Solution

The fourth proportional to 270,704.70, 373,567.96 and 149,843.40 is: 206,781.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,704.70 : 373,567.96 = 149,843.40 : x
  2. Step 2: Convert to fraction form
    270,704.70/373,567.96 = 149,843.40/x
  3. Step 3: Cross multiply
    270,704.70x = 373,567.96 × 149,843.40
  4. Step 4: Simplify right side
    270,704.70x = 55,976,693,257.46
  5. Step 5: Solve for x
    x = 55,976,693,257.46/270,704.70
  6. Step 6: Final answer
    x = 206,781.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.