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Finding the Fourth Proportional to 206,486.16, 284,916.36 and 121,620.12

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Solution

The fourth proportional to 206,486.16, 284,916.36 and 121,620.12 is: 167,815.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,486.16 : 284,916.36 = 121,620.12 : x
  2. Step 2: Convert to fraction form
    206,486.16/284,916.36 = 121,620.12/x
  3. Step 3: Cross multiply
    206,486.16x = 284,916.36 × 121,620.12
  4. Step 4: Simplify right side
    206,486.16x = 34,651,561,893.16
  5. Step 5: Solve for x
    x = 34,651,561,893.16/206,486.16
  6. Step 6: Final answer
    x = 167,815.42

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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.