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Finding the Fourth Proportional to 329,008.68, 454,033.98 and 178,105.68

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Solution

The fourth proportional to 329,008.68, 454,033.98 and 178,105.68 is: 245,786.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,008.68 : 454,033.98 = 178,105.68 : x
  2. Step 2: Convert to fraction form
    329,008.68/454,033.98 = 178,105.68/x
  3. Step 3: Cross multiply
    329,008.68x = 454,033.98 × 178,105.68
  4. Step 4: Simplify right side
    329,008.68x = 80,866,030,751.01
  5. Step 5: Solve for x
    x = 80,866,030,751.01/329,008.68
  6. Step 6: Final answer
    x = 245,786.92

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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.