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Finding the Fourth Proportional to 142,574.45, 196,801.92 and 82,169.21

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Solution

The fourth proportional to 142,574.45, 196,801.92 and 82,169.21 is: 113,421.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,574.45 : 196,801.92 = 82,169.21 : x
  2. Step 2: Convert to fraction form
    142,574.45/196,801.92 = 82,169.21/x
  3. Step 3: Cross multiply
    142,574.45x = 196,801.92 × 82,169.21
  4. Step 4: Simplify right side
    142,574.45x = 16,171,058,784.89
  5. Step 5: Solve for x
    x = 16,171,058,784.89/142,574.45
  6. Step 6: Final answer
    x = 113,421.86

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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.