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Finding the Fourth Proportional to 105,194.34, 145,072.02 and 82,227.20

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Solution

The fourth proportional to 105,194.34, 145,072.02 and 82,227.20 is: 113,398.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,194.34 : 145,072.02 = 82,227.20 : x
  2. Step 2: Convert to fraction form
    105,194.34/145,072.02 = 82,227.20/x
  3. Step 3: Cross multiply
    105,194.34x = 145,072.02 × 82,227.20
  4. Step 4: Simplify right side
    105,194.34x = 11,928,865,277.58
  5. Step 5: Solve for x
    x = 11,928,865,277.58/105,194.34
  6. Step 6: Final answer
    x = 113,398.36

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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.