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Finding the Fourth Proportional to 215,876.80, 323,815.20 and 189,632.80

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Solution

The fourth proportional to 215,876.80, 323,815.20 and 189,632.80 is: 284,449.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,876.80 : 323,815.20 = 189,632.80 : x
  2. Step 2: Convert to fraction form
    215,876.80/323,815.20 = 189,632.80/x
  3. Step 3: Cross multiply
    215,876.80x = 323,815.20 × 189,632.80
  4. Step 4: Simplify right side
    215,876.80x = 61,405,983,058.56
  5. Step 5: Solve for x
    x = 61,405,983,058.56/215,876.80
  6. Step 6: Final answer
    x = 284,449.20

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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.