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Finding the Fourth Proportional to 82,123.60, 123,012.60 and 68,299.60

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Solution

The fourth proportional to 82,123.60, 123,012.60 and 68,299.60 is: 102,305.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,123.60 : 123,012.60 = 68,299.60 : x
  2. Step 2: Convert to fraction form
    82,123.60/123,012.60 = 68,299.60/x
  3. Step 3: Cross multiply
    82,123.60x = 123,012.60 × 68,299.60
  4. Step 4: Simplify right side
    82,123.60x = 8,401,711,374.96
  5. Step 5: Solve for x
    x = 8,401,711,374.96/82,123.60
  6. Step 6: Final answer
    x = 102,305.69

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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.