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Finding the Fourth Proportional to 182,653.67, 252,063.54 and 102,084.59

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Solution

The fourth proportional to 182,653.67, 252,063.54 and 102,084.59 is: 140,877.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,653.67 : 252,063.54 = 102,084.59 : x
  2. Step 2: Convert to fraction form
    182,653.67/252,063.54 = 102,084.59/x
  3. Step 3: Cross multiply
    182,653.67x = 252,063.54 × 102,084.59
  4. Step 4: Simplify right side
    182,653.67x = 25,731,801,874.53
  5. Step 5: Solve for x
    x = 25,731,801,874.53/182,653.67
  6. Step 6: Final answer
    x = 140,877.56

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Why These Related Problems?

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