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Finding the Fourth Proportional to 81,405.90, 122,108.85 and 81,405.90

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Solution

The fourth proportional to 81,405.90, 122,108.85 and 81,405.90 is: 122,108.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,405.90 : 122,108.85 = 81,405.90 : x
  2. Step 2: Convert to fraction form
    81,405.90/122,108.85 = 81,405.90/x
  3. Step 3: Cross multiply
    81,405.90x = 122,108.85 × 81,405.90
  4. Step 4: Simplify right side
    81,405.90x = 9,940,380,832.22
  5. Step 5: Solve for x
    x = 9,940,380,832.22/81,405.90
  6. Step 6: Final answer
    x = 122,108.85

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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.