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Finding the Fourth Proportional to 215,882.40, 323,823.60 and 206,551.20

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Solution

The fourth proportional to 215,882.40, 323,823.60 and 206,551.20 is: 309,826.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,882.40 : 323,823.60 = 206,551.20 : x
  2. Step 2: Convert to fraction form
    215,882.40/323,823.60 = 206,551.20/x
  3. Step 3: Cross multiply
    215,882.40x = 323,823.60 × 206,551.20
  4. Step 4: Simplify right side
    215,882.40x = 66,886,153,168.32
  5. Step 5: Solve for x
    x = 66,886,153,168.32/215,882.40
  6. Step 6: Final answer
    x = 309,826.80

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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.