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Finding the Fourth Proportional to 271,410.13, 407,053.23 and 102,949.17

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Solution

The fourth proportional to 271,410.13, 407,053.23 and 102,949.17 is: 154,400.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,410.13 : 407,053.23 = 102,949.17 : x
  2. Step 2: Convert to fraction form
    271,410.13/407,053.23 = 102,949.17/x
  3. Step 3: Cross multiply
    271,410.13x = 407,053.23 × 102,949.17
  4. Step 4: Simplify right side
    271,410.13x = 41,905,792,174.32
  5. Step 5: Solve for x
    x = 41,905,792,174.32/271,410.13
  6. Step 6: Final answer
    x = 154,400.25

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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.