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Finding the Fourth Proportional to 271,107.10, 406,369.05 and 102,562.30

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Solution

The fourth proportional to 271,107.10, 406,369.05 and 102,562.30 is: 153,733.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,107.10 : 406,369.05 = 102,562.30 : x
  2. Step 2: Convert to fraction form
    271,107.10/406,369.05 = 102,562.30/x
  3. Step 3: Cross multiply
    271,107.10x = 406,369.05 × 102,562.30
  4. Step 4: Simplify right side
    271,107.10x = 41,678,144,416.82
  5. Step 5: Solve for x
    x = 41,678,144,416.82/271,107.10
  6. Step 6: Final answer
    x = 153,733.14

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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.