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Finding the Fourth Proportional to 142,321.34, 213,517.03 and 100,283.48

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Solution

The fourth proportional to 142,321.34, 213,517.03 and 100,283.48 is: 150,449.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,321.34 : 213,517.03 = 100,283.48 : x
  2. Step 2: Convert to fraction form
    142,321.34/213,517.03 = 100,283.48/x
  3. Step 3: Cross multiply
    142,321.34x = 213,517.03 × 100,283.48
  4. Step 4: Simplify right side
    142,321.34x = 21,412,231,679.12
  5. Step 5: Solve for x
    x = 21,412,231,679.12/142,321.34
  6. Step 6: Final answer
    x = 150,449.91

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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.