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Finding the Fourth Proportional to 283,228.57, 424,801.86 and 83,539.09

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Solution

The fourth proportional to 283,228.57, 424,801.86 and 83,539.09 is: 125,296.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,228.57 : 424,801.86 = 83,539.09 : x
  2. Step 2: Convert to fraction form
    283,228.57/424,801.86 = 83,539.09/x
  3. Step 3: Cross multiply
    283,228.57x = 424,801.86 × 83,539.09
  4. Step 4: Simplify right side
    283,228.57x = 35,487,560,814.71
  5. Step 5: Solve for x
    x = 35,487,560,814.71/283,228.57
  6. Step 6: Final answer
    x = 125,296.54

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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.