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Finding the Fourth Proportional to 270,565.20, 405,847.80 and 112,906.80

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Solution

The fourth proportional to 270,565.20, 405,847.80 and 112,906.80 is: 169,360.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,565.20 : 405,847.80 = 112,906.80 : x
  2. Step 2: Convert to fraction form
    270,565.20/405,847.80 = 112,906.80/x
  3. Step 3: Cross multiply
    270,565.20x = 405,847.80 × 112,906.80
  4. Step 4: Simplify right side
    270,565.20x = 45,822,976,385.04
  5. Step 5: Solve for x
    x = 45,822,976,385.04/270,565.20
  6. Step 6: Final answer
    x = 169,360.20

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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.