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Finding the Fourth Proportional to 172,414.50, 237,932.04 and 96,963

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Solution

The fourth proportional to 172,414.50, 237,932.04 and 96,963 is: 133,808.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,414.50 : 237,932.04 = 96,963 : x
  2. Step 2: Convert to fraction form
    172,414.50/237,932.04 = 96,963/x
  3. Step 3: Cross multiply
    172,414.50x = 237,932.04 × 96,963
  4. Step 4: Simplify right side
    172,414.50x = 23,070,604,394.52
  5. Step 5: Solve for x
    x = 23,070,604,394.52/172,414.50
  6. Step 6: Final answer
    x = 133,808.96

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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.