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Finding the Fourth Proportional to 281,825.88, 388,919.73 and 154,502.38

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Solution

The fourth proportional to 281,825.88, 388,919.73 and 154,502.38 is: 213,213.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,825.88 : 388,919.73 = 154,502.38 : x
  2. Step 2: Convert to fraction form
    281,825.88/388,919.73 = 154,502.38/x
  3. Step 3: Cross multiply
    281,825.88x = 388,919.73 × 154,502.38
  4. Step 4: Simplify right side
    281,825.88x = 60,089,023,913.96
  5. Step 5: Solve for x
    x = 60,089,023,913.96/281,825.88
  6. Step 6: Final answer
    x = 213,213.29

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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.