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Finding the Fourth Proportional to 206,950.32, 285,556.64 and 122,084.16

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Solution

The fourth proportional to 206,950.32, 285,556.64 and 122,084.16 is: 168,455.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,950.32 : 285,556.64 = 122,084.16 : x
  2. Step 2: Convert to fraction form
    206,950.32/285,556.64 = 122,084.16/x
  3. Step 3: Cross multiply
    206,950.32x = 285,556.64 × 122,084.16
  4. Step 4: Simplify right side
    206,950.32x = 34,861,942,526.82
  5. Step 5: Solve for x
    x = 34,861,942,526.82/206,950.32
  6. Step 6: Final answer
    x = 168,455.61

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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.