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Finding the Fourth Proportional to 282,839.73, 424,259.44 and 83,161.77

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Solution

The fourth proportional to 282,839.73, 424,259.44 and 83,161.77 is: 124,742.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,839.73 : 424,259.44 = 83,161.77 : x
  2. Step 2: Convert to fraction form
    282,839.73/424,259.44 = 83,161.77/x
  3. Step 3: Cross multiply
    282,839.73x = 424,259.44 × 83,161.77
  4. Step 4: Simplify right side
    282,839.73x = 35,282,165,761.70
  5. Step 5: Solve for x
    x = 35,282,165,761.70/282,839.73
  6. Step 6: Final answer
    x = 124,742.61

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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.