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Finding the Fourth Proportional to 271,235.14, 406,797.11 and 102,697.32

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Solution

The fourth proportional to 271,235.14, 406,797.11 and 102,697.32 is: 154,024.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,235.14 : 406,797.11 = 102,697.32 : x
  2. Step 2: Convert to fraction form
    271,235.14/406,797.11 = 102,697.32/x
  3. Step 3: Cross multiply
    271,235.14x = 406,797.11 × 102,697.32
  4. Step 4: Simplify right side
    271,235.14x = 41,776,972,980.75
  5. Step 5: Solve for x
    x = 41,776,972,980.75/271,235.14
  6. Step 6: Final answer
    x = 154,024.93

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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.