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Finding the Fourth Proportional to 283,141.97, 424,786.46 and 105,650.31

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Solution

The fourth proportional to 283,141.97, 424,786.46 and 105,650.31 is: 158,502.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,141.97 : 424,786.46 = 105,650.31 : x
  2. Step 2: Convert to fraction form
    283,141.97/424,786.46 = 105,650.31/x
  3. Step 3: Cross multiply
    283,141.97x = 424,786.46 × 105,650.31
  4. Step 4: Simplify right side
    283,141.97x = 44,878,821,182.80
  5. Step 5: Solve for x
    x = 44,878,821,182.80/283,141.97
  6. Step 6: Final answer
    x = 158,502.89

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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.