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Finding the Fourth Proportional to 215,860.80, 323,272.80 and 206,529.60

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Solution

The fourth proportional to 215,860.80, 323,272.80 and 206,529.60 is: 309,298.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,860.80 : 323,272.80 = 206,529.60 : x
  2. Step 2: Convert to fraction form
    215,860.80/323,272.80 = 206,529.60/x
  3. Step 3: Cross multiply
    215,860.80x = 323,272.80 × 206,529.60
  4. Step 4: Simplify right side
    215,860.80x = 66,765,402,074.88
  5. Step 5: Solve for x
    x = 66,765,402,074.88/215,860.80
  6. Step 6: Final answer
    x = 309,298.41

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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.