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Finding the Fourth Proportional to 142,903.33, 197,192.39 and 82,493.43

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Solution

The fourth proportional to 142,903.33, 197,192.39 and 82,493.43 is: 113,832.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,903.33 : 197,192.39 = 82,493.43 : x
  2. Step 2: Convert to fraction form
    142,903.33/197,192.39 = 82,493.43/x
  3. Step 3: Cross multiply
    142,903.33x = 197,192.39 × 82,493.43
  4. Step 4: Simplify right side
    142,903.33x = 16,267,076,208.53
  5. Step 5: Solve for x
    x = 16,267,076,208.53/142,903.33
  6. Step 6: Final answer
    x = 113,832.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.