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Finding the Fourth Proportional to 172,884.24, 238,674.24 and 119,456.46

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Solution

The fourth proportional to 172,884.24, 238,674.24 and 119,456.46 is: 164,914.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,884.24 : 238,674.24 = 119,456.46 : x
  2. Step 2: Convert to fraction form
    172,884.24/238,674.24 = 119,456.46/x
  3. Step 3: Cross multiply
    172,884.24x = 238,674.24 × 119,456.46
  4. Step 4: Simplify right side
    172,884.24x = 28,511,179,803.59
  5. Step 5: Solve for x
    x = 28,511,179,803.59/172,884.24
  6. Step 6: Final answer
    x = 164,914.86

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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.