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Finding the Fourth Proportional to 223,894.80, 335,842.20 and 83,635.20

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Solution

The fourth proportional to 223,894.80, 335,842.20 and 83,635.20 is: 125,452.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,894.80 : 335,842.20 = 83,635.20 : x
  2. Step 2: Convert to fraction form
    223,894.80/335,842.20 = 83,635.20/x
  3. Step 3: Cross multiply
    223,894.80x = 335,842.20 × 83,635.20
  4. Step 4: Simplify right side
    223,894.80x = 28,088,229,565.44
  5. Step 5: Solve for x
    x = 28,088,229,565.44/223,894.80
  6. Step 6: Final answer
    x = 125,452.80

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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.