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Finding the Fourth Proportional to 271,663.10, 407,105.85 and 200,026.70

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Solution

The fourth proportional to 271,663.10, 407,105.85 and 200,026.70 is: 299,753.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,663.10 : 407,105.85 = 200,026.70 : x
  2. Step 2: Convert to fraction form
    271,663.10/407,105.85 = 200,026.70/x
  3. Step 3: Cross multiply
    271,663.10x = 407,105.85 × 200,026.70
  4. Step 4: Simplify right side
    271,663.10x = 81,432,039,726.20
  5. Step 5: Solve for x
    x = 81,432,039,726.20/271,663.10
  6. Step 6: Final answer
    x = 299,753.77

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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.