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Finding the Fourth Proportional to 269,898.30, 404,847.45 and 82,909.80

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Solution

The fourth proportional to 269,898.30, 404,847.45 and 82,909.80 is: 124,364.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,898.30 : 404,847.45 = 82,909.80 : x
  2. Step 2: Convert to fraction form
    269,898.30/404,847.45 = 82,909.80/x
  3. Step 3: Cross multiply
    269,898.30x = 404,847.45 × 82,909.80
  4. Step 4: Simplify right side
    269,898.30x = 33,565,821,110.01
  5. Step 5: Solve for x
    x = 33,565,821,110.01/269,898.30
  6. Step 6: Final answer
    x = 124,364.70

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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.