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Finding the Fourth Proportional to 143,682.12, 215,532.92 and 54,945

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Solution

The fourth proportional to 143,682.12, 215,532.92 and 54,945 is: 82,421.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,682.12 : 215,532.92 = 54,945 : x
  2. Step 2: Convert to fraction form
    143,682.12/215,532.92 = 54,945/x
  3. Step 3: Cross multiply
    143,682.12x = 215,532.92 × 54,945
  4. Step 4: Simplify right side
    143,682.12x = 11,842,456,289.40
  5. Step 5: Solve for x
    x = 11,842,456,289.40/143,682.12
  6. Step 6: Final answer
    x = 82,421.22

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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.