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Finding the Fourth Proportional to 143,190.66, 197,593.11 and 82,713.90

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Solution

The fourth proportional to 143,190.66, 197,593.11 and 82,713.90 is: 114,139.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,190.66 : 197,593.11 = 82,713.90 : x
  2. Step 2: Convert to fraction form
    143,190.66/197,593.11 = 82,713.90/x
  3. Step 3: Cross multiply
    143,190.66x = 197,593.11 × 82,713.90
  4. Step 4: Simplify right side
    143,190.66x = 16,343,696,741.23
  5. Step 5: Solve for x
    x = 16,343,696,741.23/143,190.66
  6. Step 6: Final answer
    x = 114,139.41

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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.