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Finding the Fourth Proportional to 120,857.67, 181,224.26 and 54,240.69

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Solution

The fourth proportional to 120,857.67, 181,224.26 and 54,240.69 is: 81,333.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,857.67 : 181,224.26 = 54,240.69 : x
  2. Step 2: Convert to fraction form
    120,857.67/181,224.26 = 54,240.69/x
  3. Step 3: Cross multiply
    120,857.67x = 181,224.26 × 54,240.69
  4. Step 4: Simplify right side
    120,857.67x = 9,829,728,635.94
  5. Step 5: Solve for x
    x = 9,829,728,635.94/120,857.67
  6. Step 6: Final answer
    x = 81,333.10

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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.