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Finding the Fourth Proportional to 174,406.84, 261,765.78 and 80,965.24

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Solution

The fourth proportional to 174,406.84, 261,765.78 and 80,965.24 is: 121,520.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,406.84 : 261,765.78 = 80,965.24 : x
  2. Step 2: Convert to fraction form
    174,406.84/261,765.78 = 80,965.24/x
  3. Step 3: Cross multiply
    174,406.84x = 261,765.78 × 80,965.24
  4. Step 4: Simplify right side
    174,406.84x = 21,193,929,201.49
  5. Step 5: Solve for x
    x = 21,193,929,201.49/174,406.84
  6. Step 6: Final answer
    x = 121,520.06

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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.