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Finding the Fourth Proportional to 241,302.80, 361,954.20 and 178,317.20

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Solution

The fourth proportional to 241,302.80, 361,954.20 and 178,317.20 is: 267,475.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,302.80 : 361,954.20 = 178,317.20 : x
  2. Step 2: Convert to fraction form
    241,302.80/361,954.20 = 178,317.20/x
  3. Step 3: Cross multiply
    241,302.80x = 361,954.20 × 178,317.20
  4. Step 4: Simplify right side
    241,302.80x = 64,542,659,472.24
  5. Step 5: Solve for x
    x = 64,542,659,472.24/241,302.80
  6. Step 6: Final answer
    x = 267,475.80

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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.