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Finding the Fourth Proportional to 225,158.36, 337,778.46 and 106,828.58

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Solution

The fourth proportional to 225,158.36, 337,778.46 and 106,828.58 is: 160,262.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,158.36 : 337,778.46 = 106,828.58 : x
  2. Step 2: Convert to fraction form
    225,158.36/337,778.46 = 106,828.58/x
  3. Step 3: Cross multiply
    225,158.36x = 337,778.46 × 106,828.58
  4. Step 4: Simplify right side
    225,158.36x = 36,084,393,236.39
  5. Step 5: Solve for x
    x = 36,084,393,236.39/225,158.36
  6. Step 6: Final answer
    x = 160,262.28

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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.