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Finding the Fourth Proportional to 172,474.38, 238,014.59 and 97,022.88

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Solution

The fourth proportional to 172,474.38, 238,014.59 and 97,022.88 is: 133,891.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,474.38 : 238,014.59 = 97,022.88 : x
  2. Step 2: Convert to fraction form
    172,474.38/238,014.59 = 97,022.88/x
  3. Step 3: Cross multiply
    172,474.38x = 238,014.59 × 97,022.88
  4. Step 4: Simplify right side
    172,474.38x = 23,092,860,518.70
  5. Step 5: Solve for x
    x = 23,092,860,518.70/172,474.38
  6. Step 6: Final answer
    x = 133,891.54

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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.