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Finding the Fourth Proportional to 271,993.28, 408,048.96 and 105,782.72

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Solution

The fourth proportional to 271,993.28, 408,048.96 and 105,782.72 is: 158,697.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,993.28 : 408,048.96 = 105,782.72 : x
  2. Step 2: Convert to fraction form
    271,993.28/408,048.96 = 105,782.72/x
  3. Step 3: Cross multiply
    271,993.28x = 408,048.96 × 105,782.72
  4. Step 4: Simplify right side
    271,993.28x = 43,164,528,881.97
  5. Step 5: Solve for x
    x = 43,164,528,881.97/271,993.28
  6. Step 6: Final answer
    x = 158,697.04

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Why These Related Problems?

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