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Finding the Fourth Proportional to 224,826.60, 337,245.66 and 106,470.12

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Solution

The fourth proportional to 224,826.60, 337,245.66 and 106,470.12 is: 159,707.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,826.60 : 337,245.66 = 106,470.12 : x
  2. Step 2: Convert to fraction form
    224,826.60/337,245.66 = 106,470.12/x
  3. Step 3: Cross multiply
    224,826.60x = 337,245.66 × 106,470.12
  4. Step 4: Simplify right side
    224,826.60x = 35,906,585,889.68
  5. Step 5: Solve for x
    x = 35,906,585,889.68/224,826.60
  6. Step 6: Final answer
    x = 159,707.91

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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.