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Finding the Fourth Proportional to 120,883.90, 181,324.90 and 32,143.68

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Solution

The fourth proportional to 120,883.90, 181,324.90 and 32,143.68 is: 48,215.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,883.90 : 181,324.90 = 32,143.68 : x
  2. Step 2: Convert to fraction form
    120,883.90/181,324.90 = 32,143.68/x
  3. Step 3: Cross multiply
    120,883.90x = 181,324.90 × 32,143.68
  4. Step 4: Simplify right side
    120,883.90x = 5,828,449,561.63
  5. Step 5: Solve for x
    x = 5,828,449,561.63/120,883.90
  6. Step 6: Final answer
    x = 48,215.27

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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.