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Finding the Fourth Proportional to 142,759.40, 214,058.10 and 54,015.80

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Solution

The fourth proportional to 142,759.40, 214,058.10 and 54,015.80 is: 80,993.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,759.40 : 214,058.10 = 54,015.80 : x
  2. Step 2: Convert to fraction form
    142,759.40/214,058.10 = 54,015.80/x
  3. Step 3: Cross multiply
    142,759.40x = 214,058.10 × 54,015.80
  4. Step 4: Simplify right side
    142,759.40x = 11,562,519,517.98
  5. Step 5: Solve for x
    x = 11,562,519,517.98/142,759.40
  6. Step 6: Final answer
    x = 80,993.05

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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.