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Finding the Fourth Proportional to 206,162.87, 284,212.04 and 151,618.64

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Solution

The fourth proportional to 206,162.87, 284,212.04 and 151,618.64 is: 209,018.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,162.87 : 284,212.04 = 151,618.64 : x
  2. Step 2: Convert to fraction form
    206,162.87/284,212.04 = 151,618.64/x
  3. Step 3: Cross multiply
    206,162.87x = 284,212.04 × 151,618.64
  4. Step 4: Simplify right side
    206,162.87x = 43,091,841,650.13
  5. Step 5: Solve for x
    x = 43,091,841,650.13/206,162.87
  6. Step 6: Final answer
    x = 209,018.44

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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.