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Finding the Fourth Proportional to 282,846.12, 424,209.51 and 83,112.27

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Solution

The fourth proportional to 282,846.12, 424,209.51 and 83,112.27 is: 124,650.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,846.12 : 424,209.51 = 83,112.27 : x
  2. Step 2: Convert to fraction form
    282,846.12/424,209.51 = 83,112.27/x
  3. Step 3: Cross multiply
    282,846.12x = 424,209.51 × 83,112.27
  4. Step 4: Simplify right side
    282,846.12x = 35,257,015,331.69
  5. Step 5: Solve for x
    x = 35,257,015,331.69/282,846.12
  6. Step 6: Final answer
    x = 124,650.87

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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.