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Finding the Fourth Proportional to 133,104.80, 183,493.80 and 82,083.26

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Solution

The fourth proportional to 133,104.80, 183,493.80 and 82,083.26 is: 113,157.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,104.80 : 183,493.80 = 82,083.26 : x
  2. Step 2: Convert to fraction form
    133,104.80/183,493.80 = 82,083.26/x
  3. Step 3: Cross multiply
    133,104.80x = 183,493.80 × 82,083.26
  4. Step 4: Simplify right side
    133,104.80x = 15,061,769,293.79
  5. Step 5: Solve for x
    x = 15,061,769,293.79/133,104.80
  6. Step 6: Final answer
    x = 113,157.22

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Why These Related Problems?

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