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Finding the Fourth Proportional to 83,446.89, 124,367.49 and 82,118.31

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Solution

The fourth proportional to 83,446.89, 124,367.49 and 82,118.31 is: 122,387.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,446.89 : 124,367.49 = 82,118.31 : x
  2. Step 2: Convert to fraction form
    83,446.89/124,367.49 = 82,118.31/x
  3. Step 3: Cross multiply
    83,446.89x = 124,367.49 × 82,118.31
  4. Step 4: Simplify right side
    83,446.89x = 10,212,848,097.74
  5. Step 5: Solve for x
    x = 10,212,848,097.74/83,446.89
  6. Step 6: Final answer
    x = 122,387.40

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.