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Finding the Fourth Proportional to 142,757.60, 214,053.40 and 54,017.96

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Solution

The fourth proportional to 142,757.60, 214,053.40 and 54,017.96 is: 80,995.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,757.60 : 214,053.40 = 54,017.96 : x
  2. Step 2: Convert to fraction form
    142,757.60/214,053.40 = 54,017.96/x
  3. Step 3: Cross multiply
    142,757.60x = 214,053.40 × 54,017.96
  4. Step 4: Simplify right side
    142,757.60x = 11,562,728,399.15
  5. Step 5: Solve for x
    x = 11,562,728,399.15/142,757.60
  6. Step 6: Final answer
    x = 80,995.54

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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.