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Finding the Fourth Proportional to 283,049.29, 424,560.05 and 105,542.41

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Solution

The fourth proportional to 283,049.29, 424,560.05 and 105,542.41 is: 158,308.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,049.29 : 424,560.05 = 105,542.41 : x
  2. Step 2: Convert to fraction form
    283,049.29/424,560.05 = 105,542.41/x
  3. Step 3: Cross multiply
    283,049.29x = 424,560.05 × 105,542.41
  4. Step 4: Simplify right side
    283,049.29x = 44,809,090,866.72
  5. Step 5: Solve for x
    x = 44,809,090,866.72/283,049.29
  6. Step 6: Final answer
    x = 158,308.44

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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.