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Finding the Fourth Proportional to 271,849.17, 407,773.76 and 84,876.69

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Solution

The fourth proportional to 271,849.17, 407,773.76 and 84,876.69 is: 127,315.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,849.17 : 407,773.76 = 84,876.69 : x
  2. Step 2: Convert to fraction form
    271,849.17/407,773.76 = 84,876.69/x
  3. Step 3: Cross multiply
    271,849.17x = 407,773.76 × 84,876.69
  4. Step 4: Simplify right side
    271,849.17x = 34,610,486,593.27
  5. Step 5: Solve for x
    x = 34,610,486,593.27/271,849.17
  6. Step 6: Final answer
    x = 127,315.04

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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.