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Finding the Fourth Proportional to 120,828.30, 181,242.45 and 50,844.30

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Solution

The fourth proportional to 120,828.30, 181,242.45 and 50,844.30 is: 76,266.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,828.30 : 181,242.45 = 50,844.30 : x
  2. Step 2: Convert to fraction form
    120,828.30/181,242.45 = 50,844.30/x
  3. Step 3: Cross multiply
    120,828.30x = 181,242.45 × 50,844.30
  4. Step 4: Simplify right side
    120,828.30x = 9,215,145,500.54
  5. Step 5: Solve for x
    x = 9,215,145,500.54/120,828.30
  6. Step 6: Final answer
    x = 76,266.45

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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.