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Finding the Fourth Proportional to 136,894.84, 204,842.68 and 80,761.84

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Solution

The fourth proportional to 136,894.84, 204,842.68 and 80,761.84 is: 120,848.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,894.84 : 204,842.68 = 80,761.84 : x
  2. Step 2: Convert to fraction form
    136,894.84/204,842.68 = 80,761.84/x
  3. Step 3: Cross multiply
    136,894.84x = 204,842.68 × 80,761.84
  4. Step 4: Simplify right side
    136,894.84x = 16,543,471,747.33
  5. Step 5: Solve for x
    x = 16,543,471,747.33/136,894.84
  6. Step 6: Final answer
    x = 120,848.03

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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.