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Finding the Fourth Proportional to 119,310.63, 164,649.78 and 65,596.05

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Solution

The fourth proportional to 119,310.63, 164,649.78 and 65,596.05 is: 90,523.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,310.63 : 164,649.78 = 65,596.05 : x
  2. Step 2: Convert to fraction form
    119,310.63/164,649.78 = 65,596.05/x
  3. Step 3: Cross multiply
    119,310.63x = 164,649.78 × 65,596.05
  4. Step 4: Simplify right side
    119,310.63x = 10,800,375,201.37
  5. Step 5: Solve for x
    x = 10,800,375,201.37/119,310.63
  6. Step 6: Final answer
    x = 90,523.16

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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.