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Finding the Fourth Proportional to 164,540.90, 246,811.35 and 81,424.10

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Solution

The fourth proportional to 164,540.90, 246,811.35 and 81,424.10 is: 122,136.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,540.90 : 246,811.35 = 81,424.10 : x
  2. Step 2: Convert to fraction form
    164,540.90/246,811.35 = 81,424.10/x
  3. Step 3: Cross multiply
    164,540.90x = 246,811.35 × 81,424.10
  4. Step 4: Simplify right side
    164,540.90x = 20,096,392,043.54
  5. Step 5: Solve for x
    x = 20,096,392,043.54/164,540.90
  6. Step 6: Final answer
    x = 122,136.15

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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.