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Finding the Fourth Proportional to 142,912.80, 197,205.45 and 82,502.90

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Solution

The fourth proportional to 142,912.80, 197,205.45 and 82,502.90 is: 113,845.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,912.80 : 197,205.45 = 82,502.90 : x
  2. Step 2: Convert to fraction form
    142,912.80/197,205.45 = 82,502.90/x
  3. Step 3: Cross multiply
    142,912.80x = 197,205.45 × 82,502.90
  4. Step 4: Simplify right side
    142,912.80x = 16,270,021,520.81
  5. Step 5: Solve for x
    x = 16,270,021,520.81/142,912.80
  6. Step 6: Final answer
    x = 113,845.80

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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.