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Finding the Fourth Proportional to 206,950.64, 285,695.21 and 135,439.88

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Solution

The fourth proportional to 206,950.64, 285,695.21 and 135,439.88 is: 186,974.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,950.64 : 285,695.21 = 135,439.88 : x
  2. Step 2: Convert to fraction form
    206,950.64/285,695.21 = 135,439.88/x
  3. Step 3: Cross multiply
    206,950.64x = 285,695.21 × 135,439.88
  4. Step 4: Simplify right side
    206,950.64x = 38,694,526,011.81
  5. Step 5: Solve for x
    x = 38,694,526,011.81/206,950.64
  6. Step 6: Final answer
    x = 186,974.67

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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.