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Finding the Fourth Proportional to 143,964, 198,670.50 and 80,305.83

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Solution

The fourth proportional to 143,964, 198,670.50 and 80,305.83 is: 110,822.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,964 : 198,670.50 = 80,305.83 : x
  2. Step 2: Convert to fraction form
    143,964/198,670.50 = 80,305.83/x
  3. Step 3: Cross multiply
    143,964x = 198,670.50 × 80,305.83
  4. Step 4: Simplify right side
    143,964x = 15,954,399,399.02
  5. Step 5: Solve for x
    x = 15,954,399,399.02/143,964
  6. Step 6: Final answer
    x = 110,822.15

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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.