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Finding the Fourth Proportional to 120,814.62, 181,222.06 and 45,917.16

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Solution

The fourth proportional to 120,814.62, 181,222.06 and 45,917.16 is: 68,875.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,814.62 : 181,222.06 = 45,917.16 : x
  2. Step 2: Convert to fraction form
    120,814.62/181,222.06 = 45,917.16/x
  3. Step 3: Cross multiply
    120,814.62x = 181,222.06 × 45,917.16
  4. Step 4: Simplify right side
    120,814.62x = 8,321,202,324.55
  5. Step 5: Solve for x
    x = 8,321,202,324.55/120,814.62
  6. Step 6: Final answer
    x = 68,875.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.