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Finding the Fourth Proportional to 136,616.70, 204,854.13 and 52,351.86

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Solution

The fourth proportional to 136,616.70, 204,854.13 and 52,351.86 is: 78,500.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,616.70 : 204,854.13 = 52,351.86 : x
  2. Step 2: Convert to fraction form
    136,616.70/204,854.13 = 52,351.86/x
  3. Step 3: Cross multiply
    136,616.70x = 204,854.13 × 52,351.86
  4. Step 4: Simplify right side
    136,616.70x = 10,724,494,734.18
  5. Step 5: Solve for x
    x = 10,724,494,734.18/136,616.70
  6. Step 6: Final answer
    x = 78,500.61

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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.