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Finding the Fourth Proportional to 143,171.94, 214,757.64 and 37,982.64

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Solution

The fourth proportional to 143,171.94, 214,757.64 and 37,982.64 is: 56,973.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,171.94 : 214,757.64 = 37,982.64 : x
  2. Step 2: Convert to fraction form
    143,171.94/214,757.64 = 37,982.64/x
  3. Step 3: Cross multiply
    143,171.94x = 214,757.64 × 37,982.64
  4. Step 4: Simplify right side
    143,171.94x = 8,157,062,127.37
  5. Step 5: Solve for x
    x = 8,157,062,127.37/143,171.94
  6. Step 6: Final answer
    x = 56,973.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.