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Finding the Fourth Proportional to 215,949.80, 323,924.70 and 189,705.80

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Solution

The fourth proportional to 215,949.80, 323,924.70 and 189,705.80 is: 284,558.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,949.80 : 323,924.70 = 189,705.80 : x
  2. Step 2: Convert to fraction form
    215,949.80/323,924.70 = 189,705.80/x
  3. Step 3: Cross multiply
    215,949.80x = 323,924.70 × 189,705.80
  4. Step 4: Simplify right side
    215,949.80x = 61,450,394,353.26
  5. Step 5: Solve for x
    x = 61,450,394,353.26/215,949.80
  6. Step 6: Final answer
    x = 284,558.70

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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.