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Finding the Fourth Proportional to 115,635.40, 173,409.90 and 80,470.60

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Solution

The fourth proportional to 115,635.40, 173,409.90 and 80,470.60 is: 120,675.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,635.40 : 173,409.90 = 80,470.60 : x
  2. Step 2: Convert to fraction form
    115,635.40/173,409.90 = 80,470.60/x
  3. Step 3: Cross multiply
    115,635.40x = 173,409.90 × 80,470.60
  4. Step 4: Simplify right side
    115,635.40x = 13,954,398,698.94
  5. Step 5: Solve for x
    x = 13,954,398,698.94/115,635.40
  6. Step 6: Final answer
    x = 120,675.84

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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.