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Finding the Fourth Proportional to 172,976.70, 238,708.14 and 96,500.82

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Solution

The fourth proportional to 172,976.70, 238,708.14 and 96,500.82 is: 133,171.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,976.70 : 238,708.14 = 96,500.82 : x
  2. Step 2: Convert to fraction form
    172,976.70/238,708.14 = 96,500.82/x
  3. Step 3: Cross multiply
    172,976.70x = 238,708.14 × 96,500.82
  4. Step 4: Simplify right side
    172,976.70x = 23,035,531,250.67
  5. Step 5: Solve for x
    x = 23,035,531,250.67/172,976.70
  6. Step 6: Final answer
    x = 133,171.30

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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.