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Finding the Fourth Proportional to 172,341, 237,816 and 96,884.64

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Solution

The fourth proportional to 172,341, 237,816 and 96,884.64 is: 133,692.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,341 : 237,816 = 96,884.64 : x
  2. Step 2: Convert to fraction form
    172,341/237,816 = 96,884.64/x
  3. Step 3: Cross multiply
    172,341x = 237,816 × 96,884.64
  4. Step 4: Simplify right side
    172,341x = 23,040,717,546.24
  5. Step 5: Solve for x
    x = 23,040,717,546.24/172,341
  6. Step 6: Final answer
    x = 133,692.61

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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.