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Finding the Fourth Proportional to 206,821.92, 310,269.24 and 106,954.92

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Solution

The fourth proportional to 206,821.92, 310,269.24 and 106,954.92 is: 160,451.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,821.92 : 310,269.24 = 106,954.92 : x
  2. Step 2: Convert to fraction form
    206,821.92/310,269.24 = 106,954.92/x
  3. Step 3: Cross multiply
    206,821.92x = 310,269.24 × 106,954.92
  4. Step 4: Simplify right side
    206,821.92x = 33,184,821,742.66
  5. Step 5: Solve for x
    x = 33,184,821,742.66/206,821.92
  6. Step 6: Final answer
    x = 160,451.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.