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Finding the Fourth Proportional to 271,234.64, 406,796.36 and 102,696.82

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Solution

The fourth proportional to 271,234.64, 406,796.36 and 102,696.82 is: 154,024.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,234.64 : 406,796.36 = 102,696.82 : x
  2. Step 2: Convert to fraction form
    271,234.64/406,796.36 = 102,696.82/x
  3. Step 3: Cross multiply
    271,234.64x = 406,796.36 × 102,696.82
  4. Step 4: Simplify right side
    271,234.64x = 41,776,692,559.58
  5. Step 5: Solve for x
    x = 41,776,692,559.58/271,234.64
  6. Step 6: Final answer
    x = 154,024.18

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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.