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Finding the Fourth Proportional to 109,360.98, 164,112.75 and 82,650.42

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Solution

The fourth proportional to 109,360.98, 164,112.75 and 82,650.42 is: 124,029.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,360.98 : 164,112.75 = 82,650.42 : x
  2. Step 2: Convert to fraction form
    109,360.98/164,112.75 = 82,650.42/x
  3. Step 3: Cross multiply
    109,360.98x = 164,112.75 × 82,650.42
  4. Step 4: Simplify right side
    109,360.98x = 13,563,987,714.86
  5. Step 5: Solve for x
    x = 13,563,987,714.86/109,360.98
  6. Step 6: Final answer
    x = 124,029.50

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.