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Finding the Fourth Proportional to 136,894.94, 204,842.85 and 80,761.94

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Solution

The fourth proportional to 136,894.94, 204,842.85 and 80,761.94 is: 120,848.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,894.94 : 204,842.85 = 80,761.94 : x
  2. Step 2: Convert to fraction form
    136,894.94/204,842.85 = 80,761.94/x
  3. Step 3: Cross multiply
    136,894.94x = 204,842.85 × 80,761.94
  4. Step 4: Simplify right side
    136,894.94x = 16,543,506,781.60
  5. Step 5: Solve for x
    x = 16,543,506,781.60/136,894.94
  6. Step 6: Final answer
    x = 120,848.19

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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.