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Finding the Fourth Proportional to 138,008.24, 206,961.48 and 49,238

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Solution

The fourth proportional to 138,008.24, 206,961.48 and 49,238 is: 73,838.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,008.24 : 206,961.48 = 49,238 : x
  2. Step 2: Convert to fraction form
    138,008.24/206,961.48 = 49,238/x
  3. Step 3: Cross multiply
    138,008.24x = 206,961.48 × 49,238
  4. Step 4: Simplify right side
    138,008.24x = 10,190,369,352.24
  5. Step 5: Solve for x
    x = 10,190,369,352.24/138,008.24
  6. Step 6: Final answer
    x = 73,838.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.