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Finding the Fourth Proportional to 206,435.36, 284,890.92 and 121,579.76

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Solution

The fourth proportional to 206,435.36, 284,890.92 and 121,579.76 is: 167,786.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,435.36 : 284,890.92 = 121,579.76 : x
  2. Step 2: Convert to fraction form
    206,435.36/284,890.92 = 121,579.76/x
  3. Step 3: Cross multiply
    206,435.36x = 284,890.92 × 121,579.76
  4. Step 4: Simplify right side
    206,435.36x = 34,636,969,679.78
  5. Step 5: Solve for x
    x = 34,636,969,679.78/206,435.36
  6. Step 6: Final answer
    x = 167,786.03

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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.