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Finding the Fourth Proportional to 142,755.84, 197,016.96 and 83,136

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Solution

The fourth proportional to 142,755.84, 197,016.96 and 83,136 is: 114,735.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,755.84 : 197,016.96 = 83,136 : x
  2. Step 2: Convert to fraction form
    142,755.84/197,016.96 = 83,136/x
  3. Step 3: Cross multiply
    142,755.84x = 197,016.96 × 83,136
  4. Step 4: Simplify right side
    142,755.84x = 16,379,201,986.56
  5. Step 5: Solve for x
    x = 16,379,201,986.56/142,755.84
  6. Step 6: Final answer
    x = 114,735.78

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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.