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Finding the Fourth Proportional to 206,147.64, 309,209.62 and 122,439.51

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Solution

The fourth proportional to 206,147.64, 309,209.62 and 122,439.51 is: 183,652.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,147.64 : 309,209.62 = 122,439.51 : x
  2. Step 2: Convert to fraction form
    206,147.64/309,209.62 = 122,439.51/x
  3. Step 3: Cross multiply
    206,147.64x = 309,209.62 × 122,439.51
  4. Step 4: Simplify right side
    206,147.64x = 37,859,473,359.43
  5. Step 5: Solve for x
    x = 37,859,473,359.43/206,147.64
  6. Step 6: Final answer
    x = 183,652.23

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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.