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Finding the Fourth Proportional to 232,962.65, 320,695.09 and 172,419.20

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Solution

The fourth proportional to 232,962.65, 320,695.09 and 172,419.20 is: 237,351.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,962.65 : 320,695.09 = 172,419.20 : x
  2. Step 2: Convert to fraction form
    232,962.65/320,695.09 = 172,419.20/x
  3. Step 3: Cross multiply
    232,962.65x = 320,695.09 × 172,419.20
  4. Step 4: Simplify right side
    232,962.65x = 55,293,990,861.73
  5. Step 5: Solve for x
    x = 55,293,990,861.73/232,962.65
  6. Step 6: Final answer
    x = 237,351.31

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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.