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Finding the Fourth Proportional to 105,037.92, 145,005.84 and 81,110.88

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Solution

The fourth proportional to 105,037.92, 145,005.84 and 81,110.88 is: 111,974.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,037.92 : 145,005.84 = 81,110.88 : x
  2. Step 2: Convert to fraction form
    105,037.92/145,005.84 = 81,110.88/x
  3. Step 3: Cross multiply
    105,037.92x = 145,005.84 × 81,110.88
  4. Step 4: Simplify right side
    105,037.92x = 11,761,551,287.54
  5. Step 5: Solve for x
    x = 11,761,551,287.54/105,037.92
  6. Step 6: Final answer
    x = 111,974.34

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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.