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Finding the Fourth Proportional to 142,871.34, 197,163.24 and 82,444.52

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Solution

The fourth proportional to 142,871.34, 197,163.24 and 82,444.52 is: 113,773.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,871.34 : 197,163.24 = 82,444.52 : x
  2. Step 2: Convert to fraction form
    142,871.34/197,163.24 = 82,444.52/x
  3. Step 3: Cross multiply
    142,871.34x = 197,163.24 × 82,444.52
  4. Step 4: Simplify right side
    142,871.34x = 16,255,028,683.44
  5. Step 5: Solve for x
    x = 16,255,028,683.44/142,871.34
  6. Step 6: Final answer
    x = 113,773.89

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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.