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Finding the Fourth Proportional to 120,883.89, 181,141.14 and 50,724.93

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Solution

The fourth proportional to 120,883.89, 181,141.14 and 50,724.93 is: 76,009.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,883.89 : 181,141.14 = 50,724.93 : x
  2. Step 2: Convert to fraction form
    120,883.89/181,141.14 = 50,724.93/x
  3. Step 3: Cross multiply
    120,883.89x = 181,141.14 × 50,724.93
  4. Step 4: Simplify right side
    120,883.89x = 9,188,371,646.62
  5. Step 5: Solve for x
    x = 9,188,371,646.62/120,883.89
  6. Step 6: Final answer
    x = 76,009.89

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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.