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Finding the Fourth Proportional to 271,103.10, 406,363.05 and 102,558.30

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Solution

The fourth proportional to 271,103.10, 406,363.05 and 102,558.30 is: 153,727.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,103.10 : 406,363.05 = 102,558.30 : x
  2. Step 2: Convert to fraction form
    271,103.10/406,363.05 = 102,558.30/x
  3. Step 3: Cross multiply
    271,103.10x = 406,363.05 × 102,558.30
  4. Step 4: Simplify right side
    271,103.10x = 41,675,903,590.82
  5. Step 5: Solve for x
    x = 41,675,903,590.82/271,103.10
  6. Step 6: Final answer
    x = 153,727.14

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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.