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Finding the Fourth Proportional to 225,711.60, 338,653.80 and 222,169.20

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Solution

The fourth proportional to 225,711.60, 338,653.80 and 222,169.20 is: 333,338.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,711.60 : 338,653.80 = 222,169.20 : x
  2. Step 2: Convert to fraction form
    225,711.60/338,653.80 = 222,169.20/x
  3. Step 3: Cross multiply
    225,711.60x = 338,653.80 × 222,169.20
  4. Step 4: Simplify right side
    225,711.60x = 75,238,443,822.96
  5. Step 5: Solve for x
    x = 75,238,443,822.96/225,711.60
  6. Step 6: Final answer
    x = 333,338.84

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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.