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Finding the Fourth Proportional to 172,906.40, 238,631.36 and 96,438

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Solution

The fourth proportional to 172,906.40, 238,631.36 and 96,438 is: 133,095.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,906.40 : 238,631.36 = 96,438 : x
  2. Step 2: Convert to fraction form
    172,906.40/238,631.36 = 96,438/x
  3. Step 3: Cross multiply
    172,906.40x = 238,631.36 × 96,438
  4. Step 4: Simplify right side
    172,906.40x = 23,013,131,095.68
  5. Step 5: Solve for x
    x = 23,013,131,095.68/172,906.40
  6. Step 6: Final answer
    x = 133,095.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.