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Finding the Fourth Proportional to 195,961, 270,428.10 and 106,538.92

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Solution

The fourth proportional to 195,961, 270,428.10 and 106,538.92 is: 147,024.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,961 : 270,428.10 = 106,538.92 : x
  2. Step 2: Convert to fraction form
    195,961/270,428.10 = 106,538.92/x
  3. Step 3: Cross multiply
    195,961x = 270,428.10 × 106,538.92
  4. Step 4: Simplify right side
    195,961x = 28,811,117,711.65
  5. Step 5: Solve for x
    x = 28,811,117,711.65/195,961
  6. Step 6: Final answer
    x = 147,024.75

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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.