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Finding the Fourth Proportional to 122,257.65, 183,365.46 and 32,301.33

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Solution

The fourth proportional to 122,257.65, 183,365.46 and 32,301.33 is: 48,446.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,257.65 : 183,365.46 = 32,301.33 : x
  2. Step 2: Convert to fraction form
    122,257.65/183,365.46 = 32,301.33/x
  3. Step 3: Cross multiply
    122,257.65x = 183,365.46 × 32,301.33
  4. Step 4: Simplify right side
    122,257.65x = 5,922,948,234.06
  5. Step 5: Solve for x
    x = 5,922,948,234.06/122,257.65
  6. Step 6: Final answer
    x = 48,446.44

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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.