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Finding the Fourth Proportional to 172,523.41, 238,096.88 and 97,086.49

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Solution

The fourth proportional to 172,523.41, 238,096.88 and 97,086.49 is: 133,987.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,523.41 : 238,096.88 = 97,086.49 : x
  2. Step 2: Convert to fraction form
    172,523.41/238,096.88 = 97,086.49/x
  3. Step 3: Cross multiply
    172,523.41x = 238,096.88 × 97,086.49
  4. Step 4: Simplify right side
    172,523.41x = 23,115,990,359.15
  5. Step 5: Solve for x
    x = 23,115,990,359.15/172,523.41
  6. Step 6: Final answer
    x = 133,987.56

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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.