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Finding the Fourth Proportional to 82,446.30, 123,669.45 and 76,916.70

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Solution

The fourth proportional to 82,446.30, 123,669.45 and 76,916.70 is: 115,375.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,446.30 : 123,669.45 = 76,916.70 : x
  2. Step 2: Convert to fraction form
    82,446.30/123,669.45 = 76,916.70/x
  3. Step 3: Cross multiply
    82,446.30x = 123,669.45 × 76,916.70
  4. Step 4: Simplify right side
    82,446.30x = 9,512,245,984.82
  5. Step 5: Solve for x
    x = 9,512,245,984.82/82,446.30
  6. Step 6: Final answer
    x = 115,375.05

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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.