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Finding the Fourth Proportional to 206,454.40, 284,912.64 and 121,555.84

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Solution

The fourth proportional to 206,454.40, 284,912.64 and 121,555.84 is: 167,750.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,454.40 : 284,912.64 = 121,555.84 : x
  2. Step 2: Convert to fraction form
    206,454.40/284,912.64 = 121,555.84/x
  3. Step 3: Cross multiply
    206,454.40x = 284,912.64 × 121,555.84
  4. Step 4: Simplify right side
    206,454.40x = 34,632,795,281.82
  5. Step 5: Solve for x
    x = 34,632,795,281.82/206,454.40
  6. Step 6: Final answer
    x = 167,750.34

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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.