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Finding the Fourth Proportional to 269,933.42, 404,858.62 and 90,022

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Solution

The fourth proportional to 269,933.42, 404,858.62 and 90,022 is: 135,019.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,933.42 : 404,858.62 = 90,022 : x
  2. Step 2: Convert to fraction form
    269,933.42/404,858.62 = 90,022/x
  3. Step 3: Cross multiply
    269,933.42x = 404,858.62 × 90,022
  4. Step 4: Simplify right side
    269,933.42x = 36,446,182,689.64
  5. Step 5: Solve for x
    x = 36,446,182,689.64/269,933.42
  6. Step 6: Final answer
    x = 135,019.16

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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.