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Finding the Fourth Proportional to 81,092.56, 121,469.34 and 65,211.70

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Solution

The fourth proportional to 81,092.56, 121,469.34 and 65,211.70 is: 97,681.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,092.56 : 121,469.34 = 65,211.70 : x
  2. Step 2: Convert to fraction form
    81,092.56/121,469.34 = 65,211.70/x
  3. Step 3: Cross multiply
    81,092.56x = 121,469.34 × 65,211.70
  4. Step 4: Simplify right side
    81,092.56x = 7,921,222,159.28
  5. Step 5: Solve for x
    x = 7,921,222,159.28/81,092.56
  6. Step 6: Final answer
    x = 97,681.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.