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Finding the Fourth Proportional to 269,624.32, 404,421.84 and 82,636.32

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Solution

The fourth proportional to 269,624.32, 404,421.84 and 82,636.32 is: 123,949.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,624.32 : 404,421.84 = 82,636.32 : x
  2. Step 2: Convert to fraction form
    269,624.32/404,421.84 = 82,636.32/x
  3. Step 3: Cross multiply
    269,624.32x = 404,421.84 × 82,636.32
  4. Step 4: Simplify right side
    269,624.32x = 33,419,932,585.23
  5. Step 5: Solve for x
    x = 33,419,932,585.23/269,624.32
  6. Step 6: Final answer
    x = 123,949.99

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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.