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Finding the Fourth Proportional to 283,049.10, 424,559.80 and 105,542.26

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Solution

The fourth proportional to 283,049.10, 424,559.80 and 105,542.26 is: 158,308.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,049.10 : 424,559.80 = 105,542.26 : x
  2. Step 2: Convert to fraction form
    283,049.10/424,559.80 = 105,542.26/x
  3. Step 3: Cross multiply
    283,049.10x = 424,559.80 × 105,542.26
  4. Step 4: Simplify right side
    283,049.10x = 44,809,000,797.15
  5. Step 5: Solve for x
    x = 44,809,000,797.15/283,049.10
  6. Step 6: Final answer
    x = 158,308.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.