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Finding the Fourth Proportional to 119,245.98, 164,523.54 and 71,481.90

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Solution

The fourth proportional to 119,245.98, 164,523.54 and 71,481.90 is: 98,623.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,245.98 : 164,523.54 = 71,481.90 : x
  2. Step 2: Convert to fraction form
    119,245.98/164,523.54 = 71,481.90/x
  3. Step 3: Cross multiply
    119,245.98x = 164,523.54 × 71,481.90
  4. Step 4: Simplify right side
    119,245.98x = 11,760,455,233.93
  5. Step 5: Solve for x
    x = 11,760,455,233.93/119,245.98
  6. Step 6: Final answer
    x = 98,623.49

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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.