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Finding the Fourth Proportional to 102,082.26, 140,882.13 and 56,763.54

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Solution

The fourth proportional to 102,082.26, 140,882.13 and 56,763.54 is: 78,338.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,082.26 : 140,882.13 = 56,763.54 : x
  2. Step 2: Convert to fraction form
    102,082.26/140,882.13 = 56,763.54/x
  3. Step 3: Cross multiply
    102,082.26x = 140,882.13 × 56,763.54
  4. Step 4: Simplify right side
    102,082.26x = 7,996,968,421.54
  5. Step 5: Solve for x
    x = 7,996,968,421.54/102,082.26
  6. Step 6: Final answer
    x = 78,338.47

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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.