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Finding the Fourth Proportional to 172,930.40, 238,645.34 and 96,446.96

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Solution

The fourth proportional to 172,930.40, 238,645.34 and 96,446.96 is: 133,097.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,930.40 : 238,645.34 = 96,446.96 : x
  2. Step 2: Convert to fraction form
    172,930.40/238,645.34 = 96,446.96/x
  3. Step 3: Cross multiply
    172,930.40x = 238,645.34 × 96,446.96
  4. Step 4: Simplify right side
    172,930.40x = 23,016,615,885.70
  5. Step 5: Solve for x
    x = 23,016,615,885.70/172,930.40
  6. Step 6: Final answer
    x = 133,097.57

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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.