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Finding the Fourth Proportional to 133,102.89, 183,676.73 and 72,676.08

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Solution

The fourth proportional to 133,102.89, 183,676.73 and 72,676.08 is: 100,290.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,102.89 : 183,676.73 = 72,676.08 : x
  2. Step 2: Convert to fraction form
    133,102.89/183,676.73 = 72,676.08/x
  3. Step 3: Cross multiply
    133,102.89x = 183,676.73 × 72,676.08
  4. Step 4: Simplify right side
    133,102.89x = 13,348,904,723.62
  5. Step 5: Solve for x
    x = 13,348,904,723.62/133,102.89
  6. Step 6: Final answer
    x = 100,290.12

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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.