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Finding the Fourth Proportional to 271,569.70, 407,352.53 and 82,029.70

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Solution

The fourth proportional to 271,569.70, 407,352.53 and 82,029.70 is: 123,043.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,569.70 : 407,352.53 = 82,029.70 : x
  2. Step 2: Convert to fraction form
    271,569.70/407,352.53 = 82,029.70/x
  3. Step 3: Cross multiply
    271,569.70x = 407,352.53 × 82,029.70
  4. Step 4: Simplify right side
    271,569.70x = 33,415,005,419.99
  5. Step 5: Solve for x
    x = 33,415,005,419.99/271,569.70
  6. Step 6: Final answer
    x = 123,043.94

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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.