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Finding the Fourth Proportional to 138,728.66, 208,102.38 and 48,760.43

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Solution

The fourth proportional to 138,728.66, 208,102.38 and 48,760.43 is: 73,143.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,728.66 : 208,102.38 = 48,760.43 : x
  2. Step 2: Convert to fraction form
    138,728.66/208,102.38 = 48,760.43/x
  3. Step 3: Cross multiply
    138,728.66x = 208,102.38 × 48,760.43
  4. Step 4: Simplify right side
    138,728.66x = 10,147,161,532.82
  5. Step 5: Solve for x
    x = 10,147,161,532.82/138,728.66
  6. Step 6: Final answer
    x = 73,143.95

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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.