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Finding the Fourth Proportional to 172,592.64, 238,162.68 and 96,105.96

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Solution

The fourth proportional to 172,592.64, 238,162.68 and 96,105.96 is: 132,617.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,592.64 : 238,162.68 = 96,105.96 : x
  2. Step 2: Convert to fraction form
    172,592.64/238,162.68 = 96,105.96/x
  3. Step 3: Cross multiply
    172,592.64x = 238,162.68 × 96,105.96
  4. Step 4: Simplify right side
    172,592.64x = 22,888,852,997.57
  5. Step 5: Solve for x
    x = 22,888,852,997.57/172,592.64
  6. Step 6: Final answer
    x = 132,617.78

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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.