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Finding the Fourth Proportional to 120,142.81, 181,025.21 and 99,541.27

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Solution

The fourth proportional to 120,142.81, 181,025.21 and 99,541.27 is: 149,983.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,142.81 : 181,025.21 = 99,541.27 : x
  2. Step 2: Convert to fraction form
    120,142.81/181,025.21 = 99,541.27/x
  3. Step 3: Cross multiply
    120,142.81x = 181,025.21 × 99,541.27
  4. Step 4: Simplify right side
    120,142.81x = 18,019,479,305.42
  5. Step 5: Solve for x
    x = 18,019,479,305.42/120,142.81
  6. Step 6: Final answer
    x = 149,983.83

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.