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Finding the Fourth Proportional to 271,704.60, 407,574.90 and 72,022.20

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Solution

The fourth proportional to 271,704.60, 407,574.90 and 72,022.20 is: 108,038.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,704.60 : 407,574.90 = 72,022.20 : x
  2. Step 2: Convert to fraction form
    271,704.60/407,574.90 = 72,022.20/x
  3. Step 3: Cross multiply
    271,704.60x = 407,574.90 × 72,022.20
  4. Step 4: Simplify right side
    271,704.60x = 29,354,440,962.78
  5. Step 5: Solve for x
    x = 29,354,440,962.78/271,704.60
  6. Step 6: Final answer
    x = 108,038.07

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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.