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Finding the Fourth Proportional to 133,213.22, 183,832.07 and 72,782.57

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Solution

The fourth proportional to 133,213.22, 183,832.07 and 72,782.57 is: 100,438.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,213.22 : 183,832.07 = 72,782.57 : x
  2. Step 2: Convert to fraction form
    133,213.22/183,832.07 = 72,782.57/x
  3. Step 3: Cross multiply
    133,213.22x = 183,832.07 × 72,782.57
  4. Step 4: Simplify right side
    133,213.22x = 13,379,769,765.82
  5. Step 5: Solve for x
    x = 13,379,769,765.82/133,213.22
  6. Step 6: Final answer
    x = 100,438.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.