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Finding the Fourth Proportional to 271,251.10, 406,585.05 and 102,706.30

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Solution

The fourth proportional to 271,251.10, 406,585.05 and 102,706.30 is: 153,949.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,251.10 : 406,585.05 = 102,706.30 : x
  2. Step 2: Convert to fraction form
    271,251.10/406,585.05 = 102,706.30/x
  3. Step 3: Cross multiply
    271,251.10x = 406,585.05 × 102,706.30
  4. Step 4: Simplify right side
    271,251.10x = 41,758,846,120.82
  5. Step 5: Solve for x
    x = 41,758,846,120.82/271,251.10
  6. Step 6: Final answer
    x = 153,949.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.