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Finding the Fourth Proportional to 271,814.13, 407,689.52 and 72,150.03

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Solution

The fourth proportional to 271,814.13, 407,689.52 and 72,150.03 is: 108,216.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,814.13 : 407,689.52 = 72,150.03 : x
  2. Step 2: Convert to fraction form
    271,814.13/407,689.52 = 72,150.03/x
  3. Step 3: Cross multiply
    271,814.13x = 407,689.52 × 72,150.03
  4. Step 4: Simplify right side
    271,814.13x = 29,414,810,737.94
  5. Step 5: Solve for x
    x = 29,414,810,737.94/271,814.13
  6. Step 6: Final answer
    x = 108,216.64

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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.