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Finding the Fourth Proportional to 271,725.76, 407,457.51 and 113,911.84

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Solution

The fourth proportional to 271,725.76, 407,457.51 and 113,911.84 is: 170,812.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,725.76 : 407,457.51 = 113,911.84 : x
  2. Step 2: Convert to fraction form
    271,725.76/407,457.51 = 113,911.84/x
  3. Step 3: Cross multiply
    271,725.76x = 407,457.51 × 113,911.84
  4. Step 4: Simplify right side
    271,725.76x = 46,414,234,685.92
  5. Step 5: Solve for x
    x = 46,414,234,685.92/271,725.76
  6. Step 6: Final answer
    x = 170,812.79

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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.