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Finding the Fourth Proportional to 105,182.45, 145,198.68 and 81,846.08

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Solution

The fourth proportional to 105,182.45, 145,198.68 and 81,846.08 is: 112,984.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,182.45 : 145,198.68 = 81,846.08 : x
  2. Step 2: Convert to fraction form
    105,182.45/145,198.68 = 81,846.08/x
  3. Step 3: Cross multiply
    105,182.45x = 145,198.68 × 81,846.08
  4. Step 4: Simplify right side
    105,182.45x = 11,883,942,779.17
  5. Step 5: Solve for x
    x = 11,883,942,779.17/105,182.45
  6. Step 6: Final answer
    x = 112,984.08

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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.