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Finding the Fourth Proportional to 146,531, 202,212.78 and 82,867.43

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Solution

The fourth proportional to 146,531, 202,212.78 and 82,867.43 is: 114,357.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,531 : 202,212.78 = 82,867.43 : x
  2. Step 2: Convert to fraction form
    146,531/202,212.78 = 82,867.43/x
  3. Step 3: Cross multiply
    146,531x = 202,212.78 × 82,867.43
  4. Step 4: Simplify right side
    146,531x = 16,756,853,391.76
  5. Step 5: Solve for x
    x = 16,756,853,391.76/146,531
  6. Step 6: Final answer
    x = 114,357.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.