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Finding the Fourth Proportional to 269,764.72, 404,727.28 and 119,984.32

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Solution

The fourth proportional to 269,764.72, 404,727.28 and 119,984.32 is: 180,012.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,764.72 : 404,727.28 = 119,984.32 : x
  2. Step 2: Convert to fraction form
    269,764.72/404,727.28 = 119,984.32/x
  3. Step 3: Cross multiply
    269,764.72x = 404,727.28 × 119,984.32
  4. Step 4: Simplify right side
    269,764.72x = 48,560,927,476.25
  5. Step 5: Solve for x
    x = 48,560,927,476.25/269,764.72
  6. Step 6: Final answer
    x = 180,012.15

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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.