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Finding the Fourth Proportional to 143,711.56, 198,306.81 and 83,301.16

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Solution

The fourth proportional to 143,711.56, 198,306.81 and 83,301.16 is: 114,946.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,711.56 : 198,306.81 = 83,301.16 : x
  2. Step 2: Convert to fraction form
    143,711.56/198,306.81 = 83,301.16/x
  3. Step 3: Cross multiply
    143,711.56x = 198,306.81 × 83,301.16
  4. Step 4: Simplify right side
    143,711.56x = 16,519,187,308.90
  5. Step 5: Solve for x
    x = 16,519,187,308.90/143,711.56
  6. Step 6: Final answer
    x = 114,946.82

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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.