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Finding the Fourth Proportional to 82,333.50, 113,684.22 and 63,182.94

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Solution

The fourth proportional to 82,333.50, 113,684.22 and 63,182.94 is: 87,241.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,333.50 : 113,684.22 = 63,182.94 : x
  2. Step 2: Convert to fraction form
    82,333.50/113,684.22 = 63,182.94/x
  3. Step 3: Cross multiply
    82,333.50x = 113,684.22 × 63,182.94
  4. Step 4: Simplify right side
    82,333.50x = 7,182,903,251.21
  5. Step 5: Solve for x
    x = 7,182,903,251.21/82,333.50
  6. Step 6: Final answer
    x = 87,241.56

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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.