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Finding the Fourth Proportional to 172,296, 237,783.68 and 96,845.12

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Solution

The fourth proportional to 172,296, 237,783.68 and 96,845.12 is: 133,654.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,296 : 237,783.68 = 96,845.12 : x
  2. Step 2: Convert to fraction form
    172,296/237,783.68 = 96,845.12/x
  3. Step 3: Cross multiply
    172,296x = 237,783.68 × 96,845.12
  4. Step 4: Simplify right side
    172,296x = 23,028,189,023.64
  5. Step 5: Solve for x
    x = 23,028,189,023.64/172,296
  6. Step 6: Final answer
    x = 133,654.81

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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.