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Finding the Fourth Proportional to 329,095.41, 454,151.66 and 178,192.41

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Solution

The fourth proportional to 329,095.41, 454,151.66 and 178,192.41 is: 245,905.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,095.41 : 454,151.66 = 178,192.41 : x
  2. Step 2: Convert to fraction form
    329,095.41/454,151.66 = 178,192.41/x
  3. Step 3: Cross multiply
    329,095.41x = 454,151.66 × 178,192.41
  4. Step 4: Simplify right side
    329,095.41x = 80,926,377,209.20
  5. Step 5: Solve for x
    x = 80,926,377,209.20/329,095.41
  6. Step 6: Final answer
    x = 245,905.52

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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.