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Finding the Fourth Proportional to 241,640, 362,109.60 and 136,234.88

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Solution

The fourth proportional to 241,640, 362,109.60 and 136,234.88 is: 204,154.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,640 : 362,109.60 = 136,234.88 : x
  2. Step 2: Convert to fraction form
    241,640/362,109.60 = 136,234.88/x
  3. Step 3: Cross multiply
    241,640x = 362,109.60 × 136,234.88
  4. Step 4: Simplify right side
    241,640x = 49,331,957,902.85
  5. Step 5: Solve for x
    x = 49,331,957,902.85/241,640
  6. Step 6: Final answer
    x = 204,154.77

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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.