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Finding the Fourth Proportional to 271,411.13, 407,054.73 and 102,950.17

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Solution

The fourth proportional to 271,411.13, 407,054.73 and 102,950.17 is: 154,401.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,411.13 : 407,054.73 = 102,950.17 : x
  2. Step 2: Convert to fraction form
    271,411.13/407,054.73 = 102,950.17/x
  3. Step 3: Cross multiply
    271,411.13x = 407,054.73 × 102,950.17
  4. Step 4: Simplify right side
    271,411.13x = 41,906,353,652.80
  5. Step 5: Solve for x
    x = 41,906,353,652.80/271,411.13
  6. Step 6: Final answer
    x = 154,401.75

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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.