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Finding the Fourth Proportional to 329,105, 454,168.14 and 178,205.24

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Solution

The fourth proportional to 329,105, 454,168.14 and 178,205.24 is: 245,924.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,105 : 454,168.14 = 178,205.24 : x
  2. Step 2: Convert to fraction form
    329,105/454,168.14 = 178,205.24/x
  3. Step 3: Cross multiply
    329,105x = 454,168.14 × 178,205.24
  4. Step 4: Simplify right side
    329,105x = 80,935,142,389.05
  5. Step 5: Solve for x
    x = 80,935,142,389.05/329,105
  6. Step 6: Final answer
    x = 245,924.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.