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Finding the Fourth Proportional to 225,850.20, 338,559.30 and 83,657.40

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Solution

The fourth proportional to 225,850.20, 338,559.30 and 83,657.40 is: 125,406.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,850.20 : 338,559.30 = 83,657.40 : x
  2. Step 2: Convert to fraction form
    225,850.20/338,559.30 = 83,657.40/x
  3. Step 3: Cross multiply
    225,850.20x = 338,559.30 × 83,657.40
  4. Step 4: Simplify right side
    225,850.20x = 28,322,990,783.82
  5. Step 5: Solve for x
    x = 28,322,990,783.82/225,850.20
  6. Step 6: Final answer
    x = 125,406.09

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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.