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Finding the Fourth Proportional to 181,354.83, 271,996.82 and 172,353.16

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Solution

The fourth proportional to 181,354.83, 271,996.82 and 172,353.16 is: 258,496.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,354.83 : 271,996.82 = 172,353.16 : x
  2. Step 2: Convert to fraction form
    181,354.83/271,996.82 = 172,353.16/x
  3. Step 3: Cross multiply
    181,354.83x = 271,996.82 × 172,353.16
  4. Step 4: Simplify right side
    181,354.83x = 46,879,511,436.95
  5. Step 5: Solve for x
    x = 46,879,511,436.95/181,354.83
  6. Step 6: Final answer
    x = 258,496.07

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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.