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Finding the Fourth Proportional to 138,941.16, 208,411.20 and 33,760.44

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Solution

The fourth proportional to 138,941.16, 208,411.20 and 33,760.44 is: 50,640.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,941.16 : 208,411.20 = 33,760.44 : x
  2. Step 2: Convert to fraction form
    138,941.16/208,411.20 = 33,760.44/x
  3. Step 3: Cross multiply
    138,941.16x = 208,411.20 × 33,760.44
  4. Step 4: Simplify right side
    138,941.16x = 7,036,053,812.93
  5. Step 5: Solve for x
    x = 7,036,053,812.93/138,941.16
  6. Step 6: Final answer
    x = 50,640.53

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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.