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Finding the Fourth Proportional to 97,086.14, 134,020.34 and 65,273.50

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Solution

The fourth proportional to 97,086.14, 134,020.34 and 65,273.50 is: 90,105.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,086.14 : 134,020.34 = 65,273.50 : x
  2. Step 2: Convert to fraction form
    97,086.14/134,020.34 = 65,273.50/x
  3. Step 3: Cross multiply
    97,086.14x = 134,020.34 × 65,273.50
  4. Step 4: Simplify right side
    97,086.14x = 8,747,976,662.99
  5. Step 5: Solve for x
    x = 8,747,976,662.99/97,086.14
  6. Step 6: Final answer
    x = 90,105.31

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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.