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Finding the Fourth Proportional to 164,093.40, 246,127.30 and 64,234.20

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Solution

The fourth proportional to 164,093.40, 246,127.30 and 64,234.20 is: 96,346.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,093.40 : 246,127.30 = 64,234.20 : x
  2. Step 2: Convert to fraction form
    164,093.40/246,127.30 = 64,234.20/x
  3. Step 3: Cross multiply
    164,093.40x = 246,127.30 × 64,234.20
  4. Step 4: Simplify right side
    164,093.40x = 15,809,790,213.66
  5. Step 5: Solve for x
    x = 15,809,790,213.66/164,093.40
  6. Step 6: Final answer
    x = 96,346.29

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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.