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Finding the Fourth Proportional to 174,806.40, 262,406.70 and 115,757.40

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Solution

The fourth proportional to 174,806.40, 262,406.70 and 115,757.40 is: 173,766.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,806.40 : 262,406.70 = 115,757.40 : x
  2. Step 2: Convert to fraction form
    174,806.40/262,406.70 = 115,757.40/x
  3. Step 3: Cross multiply
    174,806.40x = 262,406.70 × 115,757.40
  4. Step 4: Simplify right side
    174,806.40x = 30,375,517,334.58
  5. Step 5: Solve for x
    x = 30,375,517,334.58/174,806.40
  6. Step 6: Final answer
    x = 173,766.62

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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.