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Finding the Fourth Proportional to 283,204.50, 424,806.78 and 116,996.82

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Solution

The fourth proportional to 283,204.50, 424,806.78 and 116,996.82 is: 175,495.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,204.50 : 424,806.78 = 116,996.82 : x
  2. Step 2: Convert to fraction form
    283,204.50/424,806.78 = 116,996.82/x
  3. Step 3: Cross multiply
    283,204.50x = 424,806.78 × 116,996.82
  4. Step 4: Simplify right side
    283,204.50x = 49,701,042,374.44
  5. Step 5: Solve for x
    x = 49,701,042,374.44/283,204.50
  6. Step 6: Final answer
    x = 175,495.24

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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.