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Finding the Fourth Proportional to 105,181.45, 145,197.30 and 81,845.08

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Solution

The fourth proportional to 105,181.45, 145,197.30 and 81,845.08 is: 112,982.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,181.45 : 145,197.30 = 81,845.08 : x
  2. Step 2: Convert to fraction form
    105,181.45/145,197.30 = 81,845.08/x
  3. Step 3: Cross multiply
    105,181.45x = 145,197.30 × 81,845.08
  4. Step 4: Simplify right side
    105,181.45x = 11,883,684,634.28
  5. Step 5: Solve for x
    x = 11,883,684,634.28/105,181.45
  6. Step 6: Final answer
    x = 112,982.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.