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Finding the Fourth Proportional to 329,049.43, 454,090.13 and 178,146.43

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Solution

The fourth proportional to 329,049.43, 454,090.13 and 178,146.43 is: 245,843.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,049.43 : 454,090.13 = 178,146.43 : x
  2. Step 2: Convert to fraction form
    329,049.43/454,090.13 = 178,146.43/x
  3. Step 3: Cross multiply
    329,049.43x = 454,090.13 × 178,146.43
  4. Step 4: Simplify right side
    329,049.43x = 80,894,535,557.74
  5. Step 5: Solve for x
    x = 80,894,535,557.74/329,049.43
  6. Step 6: Final answer
    x = 245,843.11

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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.