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Finding the Fourth Proportional to 271,922.68, 408,133.04 and 138,896.20

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Solution

The fourth proportional to 271,922.68, 408,133.04 and 138,896.20 is: 208,471.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,922.68 : 408,133.04 = 138,896.20 : x
  2. Step 2: Convert to fraction form
    271,922.68/408,133.04 = 138,896.20/x
  3. Step 3: Cross multiply
    271,922.68x = 408,133.04 × 138,896.20
  4. Step 4: Simplify right side
    271,922.68x = 56,688,128,350.45
  5. Step 5: Solve for x
    x = 56,688,128,350.45/271,922.68
  6. Step 6: Final answer
    x = 208,471.50

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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.