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Finding the Fourth Proportional to 283,046.91, 424,556.49 and 105,540.03

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Solution

The fourth proportional to 283,046.91, 424,556.49 and 105,540.03 is: 158,304.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,046.91 : 424,556.49 = 105,540.03 : x
  2. Step 2: Convert to fraction form
    283,046.91/424,556.49 = 105,540.03/x
  3. Step 3: Cross multiply
    283,046.91x = 424,556.49 × 105,540.03
  4. Step 4: Simplify right side
    283,046.91x = 44,807,706,679.16
  5. Step 5: Solve for x
    x = 44,807,706,679.16/283,046.91
  6. Step 6: Final answer
    x = 158,304.88

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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.