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Finding the Fourth Proportional to 119,311.38, 164,649.78 and 65,597.31

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Solution

The fourth proportional to 119,311.38, 164,649.78 and 65,597.31 is: 90,524.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,311.38 : 164,649.78 = 65,597.31 : x
  2. Step 2: Convert to fraction form
    119,311.38/164,649.78 = 65,597.31/x
  3. Step 3: Cross multiply
    119,311.38x = 164,649.78 × 65,597.31
  4. Step 4: Simplify right side
    119,311.38x = 10,800,582,660.09
  5. Step 5: Solve for x
    x = 10,800,582,660.09/119,311.38
  6. Step 6: Final answer
    x = 90,524.33

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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.