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Finding the Fourth Proportional to 164,314.58, 246,469.29 and 84,306.36

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Solution

The fourth proportional to 164,314.58, 246,469.29 and 84,306.36 is: 126,458.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,314.58 : 246,469.29 = 84,306.36 : x
  2. Step 2: Convert to fraction form
    164,314.58/246,469.29 = 84,306.36/x
  3. Step 3: Cross multiply
    164,314.58x = 246,469.29 × 84,306.36
  4. Step 4: Simplify right side
    164,314.58x = 20,778,928,691.68
  5. Step 5: Solve for x
    x = 20,778,928,691.68/164,314.58
  6. Step 6: Final answer
    x = 126,458.22

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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.