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Finding the Fourth Proportional to 271,567.70, 407,349.53 and 82,027.70

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Solution

The fourth proportional to 271,567.70, 407,349.53 and 82,027.70 is: 123,040.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,567.70 : 407,349.53 = 82,027.70 : x
  2. Step 2: Convert to fraction form
    271,567.70/407,349.53 = 82,027.70/x
  3. Step 3: Cross multiply
    271,567.70x = 407,349.53 × 82,027.70
  4. Step 4: Simplify right side
    271,567.70x = 33,413,944,631.84
  5. Step 5: Solve for x
    x = 33,413,944,631.84/271,567.70
  6. Step 6: Final answer
    x = 123,040.94

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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.