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Finding the Fourth Proportional to 223,873.40, 335,810.10 and 206,766.20

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Solution

The fourth proportional to 223,873.40, 335,810.10 and 206,766.20 is: 310,149.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,873.40 : 335,810.10 = 206,766.20 : x
  2. Step 2: Convert to fraction form
    223,873.40/335,810.10 = 206,766.20/x
  3. Step 3: Cross multiply
    223,873.40x = 335,810.10 × 206,766.20
  4. Step 4: Simplify right side
    223,873.40x = 69,434,178,298.62
  5. Step 5: Solve for x
    x = 69,434,178,298.62/223,873.40
  6. Step 6: Final answer
    x = 310,149.30

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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.