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Finding the Fourth Proportional to 271,339.92, 407,013.33 and 102,814.97

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Solution

The fourth proportional to 271,339.92, 407,013.33 and 102,814.97 is: 154,223.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,339.92 : 407,013.33 = 102,814.97 : x
  2. Step 2: Convert to fraction form
    271,339.92/407,013.33 = 102,814.97/x
  3. Step 3: Cross multiply
    271,339.92x = 407,013.33 × 102,814.97
  4. Step 4: Simplify right side
    271,339.92x = 41,847,061,278.48
  5. Step 5: Solve for x
    x = 41,847,061,278.48/271,339.92
  6. Step 6: Final answer
    x = 154,223.75

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1.5x scale

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.