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Finding the Fourth Proportional to 82,221.56, 123,228.50 and 68,535.80

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Solution

The fourth proportional to 82,221.56, 123,228.50 and 68,535.80 is: 102,717.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,221.56 : 123,228.50 = 68,535.80 : x
  2. Step 2: Convert to fraction form
    82,221.56/123,228.50 = 68,535.80/x
  3. Step 3: Cross multiply
    82,221.56x = 123,228.50 × 68,535.80
  4. Step 4: Simplify right side
    82,221.56x = 8,445,563,830.30
  5. Step 5: Solve for x
    x = 8,445,563,830.30/82,221.56
  6. Step 6: Final answer
    x = 102,717.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.