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Finding the Fourth Proportional to 262,213.62, 393,713.01 and 150,020.34

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Solution

The fourth proportional to 262,213.62, 393,713.01 and 150,020.34 is: 225,255.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,213.62 : 393,713.01 = 150,020.34 : x
  2. Step 2: Convert to fraction form
    262,213.62/393,713.01 = 150,020.34/x
  3. Step 3: Cross multiply
    262,213.62x = 393,713.01 × 150,020.34
  4. Step 4: Simplify right side
    262,213.62x = 59,064,959,622.62
  5. Step 5: Solve for x
    x = 59,064,959,622.62/262,213.62
  6. Step 6: Final answer
    x = 225,255.12

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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.