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Finding the Fourth Proportional to 329,133.14, 454,201.14 and 178,230.14

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Solution

The fourth proportional to 329,133.14, 454,201.14 and 178,230.14 is: 245,956.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,133.14 : 454,201.14 = 178,230.14 : x
  2. Step 2: Convert to fraction form
    329,133.14/454,201.14 = 178,230.14/x
  3. Step 3: Cross multiply
    329,133.14x = 454,201.14 × 178,230.14
  4. Step 4: Simplify right side
    329,133.14x = 80,952,332,770.36
  5. Step 5: Solve for x
    x = 80,952,332,770.36/329,133.14
  6. Step 6: Final answer
    x = 245,956.19

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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.